Lux, Klaus
Overview
Works:  23 works in 55 publications in 2 languages and 515 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Publication Timeline
.
Most widely held works by
Klaus Lux
Representations of groups : a computational approach by
Klaus Lux(
Book
)
15 editions published in 2010 in English and held by 292 WorldCat member libraries worldwide
"The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject. Evolving from courses taught at Aachen University, this wellpaced text is ideal for graduatelevel study. The authors provide over 200 exercises, both theoretical and computational, and include worked examples using the computer algebra system GAP. These make the abstract theory tangible and engage students in real handson work. GAP is freely available from www.gapsystem.org and readers can download source code and solutions to selected exercises from the book's web page"
15 editions published in 2010 in English and held by 292 WorldCat member libraries worldwide
"The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject. Evolving from courses taught at Aachen University, this wellpaced text is ideal for graduatelevel study. The authors provide over 200 exercises, both theoretical and computational, and include worked examples using the computer algebra system GAP. These make the abstract theory tangible and engage students in real handson work. GAP is freely available from www.gapsystem.org and readers can download source code and solutions to selected exercises from the book's web page"
Finite Simple Groups : Thirty Years of the Atlas and Beyond : international conference, Finite Simple Groups: Thirty Years
of the Atlas and Beyond, Celebrating the Atlases and Honoring John Conway, November 25, 2015, Princeton University, Princeton,
NJ by
Manjul Bhargava(
Book
)
9 editions published in 2017 in English and held by 99 WorldCat member libraries worldwide
A mathematics conference partially based on Atlas of finite groups, by John H. Conway, et al. (Oxford University Press, 1985)
9 editions published in 2017 in English and held by 99 WorldCat member libraries worldwide
A mathematics conference partially based on Atlas of finite groups, by John H. Conway, et al. (Oxford University Press, 1985)
Brauerbäume sporadisch einfacher Gruppen by
Klaus Lux(
Book
)
4 editions published in 1987 in German and held by 34 WorldCat member libraries worldwide
4 editions published in 1987 in German and held by 34 WorldCat member libraries worldwide
Condensing tensor product modules by
Klaus Lux(
Book
)
3 editions published in 1996 in English and held by 19 WorldCat member libraries worldwide
3 editions published in 1996 in English and held by 19 WorldCat member libraries worldwide
Determination of socle series using the condensation method by
Klaus Lux(
Book
)
2 editions published in 1996 in English and held by 19 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 19 WorldCat member libraries worldwide
Modular spin characters of symmetric groups by
Lukas Alexander Maas(
)
1 edition published in 2011 in English and held by 18 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 18 WorldCat member libraries worldwide
Ist 5SCysteinyldopa ein geeigneter Tumormarker für das maligne Melanom? : Eine Studie an 164 Patienten der Univ.Hautklinik
Tübingen im klinischen Stadium IIII by
Klaus Lux(
Book
)
4 editions published in 1993 in German and held by 10 WorldCat member libraries worldwide
4 editions published in 1993 in German and held by 10 WorldCat member libraries worldwide
An atlas of Brauer characters(
Book
)
1 edition published in 1995 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 5 WorldCat member libraries worldwide
The 5 modular characters of the sporadic simple Fischer groups Fi22 and Fi23 : this paper is a contribution to the DFG research
project "Algorithmic number theory and algebra" by
G Hiss(
Book
)
2 editions published in 1993 in German and English and held by 3 WorldCat member libraries worldwide
2 editions published in 1993 in German and English and held by 3 WorldCat member libraries worldwide
The 2 modular decomposition matrices of the nonprincipal blocks of maximal defect of the triple cover of the sporadic simple
McLaughlin group by
G Hiss(
Book
)
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
The 2 modular decomposition matrices of the nonprincipal blocks of maximal defect of the triple cover of the sporadic simple
McLaughlin group by
G Hiss(
Book
)
1 edition published in 1993 in German and held by 2 WorldCat member libraries worldwide
1 edition published in 1993 in German and held by 2 WorldCat member libraries worldwide
Cohomology of SL2 and related structures(
)
1 edition published in 2018 in English and held by 1 WorldCat member library worldwide
ABSTRACT: Let S L 2 be an algebraic group defined over an algebraically closed field k of characteristic p > 0. In this paper, we provide a closed formula fordim H n ( S L 2, V ( m ) ) for Weyl S L 2 modules V ( m ) when n ≤ 2 p − 3. For n > 2 p − 3, an exponential bound, only depending on n, is obtained fordim H n ( S L 2, V ( m ) ) . Analogous results are also established for the extension spacesE x t S L 2 n ( V ( m 2 ), V ( m 1 ) ) between Weyl modules V ( m 1 ) and V ( m 2 ). As a byproduct, our results and techniques give explicit upper bounds for the dimensions of cohomology of the Specht modules of symmetric groups, and the cohomology of simple modules of S L 2 and the finite group of Lie typeS L 2 ( p s )
1 edition published in 2018 in English and held by 1 WorldCat member library worldwide
ABSTRACT: Let S L 2 be an algebraic group defined over an algebraically closed field k of characteristic p > 0. In this paper, we provide a closed formula fordim H n ( S L 2, V ( m ) ) for Weyl S L 2 modules V ( m ) when n ≤ 2 p − 3. For n > 2 p − 3, an exponential bound, only depending on n, is obtained fordim H n ( S L 2, V ( m ) ) . Analogous results are also established for the extension spacesE x t S L 2 n ( V ( m 2 ), V ( m 1 ) ) between Weyl modules V ( m 1 ) and V ( m 2 ). As a byproduct, our results and techniques give explicit upper bounds for the dimensions of cohomology of the Specht modules of symmetric groups, and the cohomology of simple modules of S L 2 and the finite group of Lie typeS L 2 ( p s )
Bissersheim Ortsgeschichte(
Book
)
1 edition published in 2000 in German and held by 1 WorldCat member library worldwide
1 edition published in 2000 in German and held by 1 WorldCat member library worldwide
Der Bundesrat und seine Befugnisse by
Kurt Lux(
Book
)
1 edition published in 1913 in German and held by 1 WorldCat member library worldwide
1 edition published in 1913 in German and held by 1 WorldCat member library worldwide
The 5 modular characters of the sporadic simple Fischer groups Fi_1tn2_1tn2 and Fi_1tn2_1tn3 this paper is a contribution
to the DFG research project "Algorithmic number theory and algebra" by
G Hiss(
Book
)
1 edition published in 1993 in German and held by 1 WorldCat member library worldwide
1 edition published in 1993 in German and held by 1 WorldCat member library worldwide
The 5modular characters of the MacLaughlin group and its covering group by
G Hiss(
Book
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Considerations for Pursuing a Doctoral Degree in PETE by E Jones(
Book
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
Der "grüne Baum" wird zum "Eulennest" Einweihung des Bissersheimer Gemeindezentrums ; 4. Juli 1998 by
Klaus Lux(
Book
)
1 edition published in 1998 in German and held by 1 WorldCat member library worldwide
1 edition published in 1998 in German and held by 1 WorldCat member library worldwide
SeeEimerkettenSchwimmbagger " Georgij Nalivajke" : Mitteilung aus dem Direktorat für Erzeugnisentwicklung des VEB Peenewerft
Wolgast(
Book
)
1 edition published in 1975 in German and held by 1 WorldCat member library worldwide
1 edition published in 1975 in German and held by 1 WorldCat member library worldwide
Triples in Finite Groups and a Conjecture of Guralnick and Tiep by Hyereem Lee(
)
1 edition published in 2017 in English and held by 1 WorldCat member library worldwide
In this thesis, we will see a way to use representation theory and the theory of linear algebraic groups to characterize certain family of finite groups. In Chapter 1, we see the history of preceding work. In particular, J. G. Thompson’s classification of minimal finite simple nonsolvable groups and characterization of solvable groups will be given. In Chapter 2, we will describe some background knowledge underlying this project and notation that will be widely used in this thesis. In Chapter 3, the main theorem originally conjectured by Guralnick and Tiep will be stated together with the base theorem which is a reduced version of main theorem to the case where we have a quasisimple group. Main theorem explains a way to characterize the finite groups with a composition factor of order divisible by two distinct primes p and q as the finite groups containing nontrivial 2element x, pelement y, qelement z such that xyz = 1. In this thesis we more focus on the proof of showing a finite group G with a composition factor of order divisible by two distinct prime p and q contains nontrivial 2element x, pelement y, qelement z such that xyz = 1. In Chapter 4, we will prove a set of lemmas and proposition which will be used as key tools in the proof of the base theorem. In Chapters 5 to 7, we will establish the base theorem in the cases where a quasisimple group G has its simple quotient isomorphic to alternating groups or sporadic groups (Chapter 5), classical groups (Chapter 6), and exceptional groups (Chapter 7). In Chapter 8, we show that any finite group G admitting nontrivial 2element x, p element y, qelement z such that xyz = 1 for two distinct odd primes p and q admits a composition factor of order divisible by pq. Also, we show that the question if a finite group G with a composition factor of order divisible by two distinct prime p and q contains nontrivial 2element x, pelement y, qelement z such that xyz = 1 can be reduced to the base theorem
1 edition published in 2017 in English and held by 1 WorldCat member library worldwide
In this thesis, we will see a way to use representation theory and the theory of linear algebraic groups to characterize certain family of finite groups. In Chapter 1, we see the history of preceding work. In particular, J. G. Thompson’s classification of minimal finite simple nonsolvable groups and characterization of solvable groups will be given. In Chapter 2, we will describe some background knowledge underlying this project and notation that will be widely used in this thesis. In Chapter 3, the main theorem originally conjectured by Guralnick and Tiep will be stated together with the base theorem which is a reduced version of main theorem to the case where we have a quasisimple group. Main theorem explains a way to characterize the finite groups with a composition factor of order divisible by two distinct primes p and q as the finite groups containing nontrivial 2element x, pelement y, qelement z such that xyz = 1. In this thesis we more focus on the proof of showing a finite group G with a composition factor of order divisible by two distinct prime p and q contains nontrivial 2element x, pelement y, qelement z such that xyz = 1. In Chapter 4, we will prove a set of lemmas and proposition which will be used as key tools in the proof of the base theorem. In Chapters 5 to 7, we will establish the base theorem in the cases where a quasisimple group G has its simple quotient isomorphic to alternating groups or sporadic groups (Chapter 5), classical groups (Chapter 6), and exceptional groups (Chapter 7). In Chapter 8, we show that any finite group G admitting nontrivial 2element x, p element y, qelement z such that xyz = 1 for two distinct odd primes p and q admits a composition factor of order divisible by pq. Also, we show that the question if a finite group G with a composition factor of order divisible by two distinct prime p and q contains nontrivial 2element x, pelement y, qelement z such that xyz = 1 can be reduced to the base theorem
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Related Identities
 Pahlings, H. (Herbert)
 Hiss, G. Author Editor
 Bhargava, Manjul 1974 Editor
 Guralnick, Robert M. 1950 Editor
 Conway, John H. (John Horton) Honoree Dedicatee
 Tiep, Pham Huu Editor
 Wiegelmann, Markus
 Müller, Jürgen Other
 Lempken, Wolfgang Other
 Maas, Lukas Alexander 1982 Author