A note on monolithic Brauer characters

2021 ◽  
Vol 98 (1-2) ◽  
pp. 255-258
Author(s):  
Xiaoyou Chen ◽  
Ni Du
Keyword(s):  
Brauer Characters

The complements in an affine group

2013 ◽  
Vol 50 (2) ◽  
pp. 258-265
Author(s):  
Pál Hegedűs
Keyword(s):  
Permutation Group ◽  
Structural Similarity ◽  
Affine Group ◽  
Permutation Module ◽  
Regular Module ◽  
Brauer Characters

In this paper we analyse the natural permutation module of an affine permutation group. For this the regular module of an elementary Abelian p-group is described in detail. We consider the inequivalent permutation modules coming from nonconjugate complements. We prove their strong structural similarity well exceeding the fact that they have equal Brauer characters.

scholarly journals Low-dimensional representations of finite orthogonal groups

2021 ◽  
pp. 1-22
Author(s):  
KAY MAGAARD ◽  
GUNTER MALLE
Keyword(s):  
Orthogonal Groups ◽  
Brauer Characters ◽  
Low Dimensional

Abstract We determine the smallest irreducible Brauer characters for finite quasi-simple orthogonal type groups in non-defining characteristic. Under some restrictions on the characteristic we also prove a gap result showing that the next larger irreducible Brauer characters have a degree roughly the square of those of the smallest non-trivial characters.

Brauer characters and fields of values

2017 ◽  
Vol 20 (6) ◽  
Author(s):  
Dan Rossi
Keyword(s):  
Prime Number ◽  
Brauer Characters

AbstractFor a prime number

ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS II

2017 ◽  
Vol 97 (2) ◽  
pp. 215-217
Author(s):  
XIAOYOU CHEN ◽  
MARK L. LEWIS
Keyword(s):  
Solvable Group ◽  
Finite Solvable Group ◽  
Brauer Characters

Let $G$ be a finite solvable group and let $p$ be a prime. We prove that the intersection of the kernels of irreducible monomial $p$-Brauer characters of $G$ with degrees divisible by $p$ is $p$-closed.

scholarly journals The heights of irreducible Brauer characters in 2-blocks of the symmetric groups

2012 ◽  
Vol 368 ◽  
pp. 329-344 ◽  
Author(s):  
Masao Kiyota ◽  
Tetsuro Okuyama ◽  
Tomoyuki Wada
Keyword(s):  
Symmetric Groups ◽  
Brauer Characters

Sylow Normalizers with a Normal Sylow 2-Subgroup

2008 ◽  
Vol 51 (3) ◽  
pp. 779-783 ◽  
Author(s):  
Gabriel Navarro ◽  
Lucía Sanus
Keyword(s):  
Solvable Group ◽  
Finite Solvable Group ◽  
Brauer Characters

AbstractIf G is a finite solvable group and p is a prime, then the normalizer of a Sylow p-subgroup has a normal Sylow 2-subgroup if and only if all non-trivial irreducible real 2-Brauer characters of G have degree divisible by p.

A Note on Brauer Character Degrees of Solvable Groups

1991 ◽  
Vol 34 (3) ◽  
pp. 423-425 ◽  
Author(s):  
You-Qiang Wang
Keyword(s):  
Solvable Group ◽  
Solvable Groups ◽  
Character Degrees ◽  
Finite Solvable Group ◽  
Prime Integer ◽  
Derived Length ◽  
Brauer Character ◽  
Brauer Characters

AbstractLet G be a finite solvable group. Fix a prime integer p and let t be the number of distinct degrees of irreducible Brauer characters of G with respect to the prime p. We obtain the bound 3t — 2 for the derived length of a Hall p'-subgroup of G. Furthermore, if |G| is odd, then the derived length of a Hall p'-subgroup of G is bounded by /.

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