A note on monolithic Brauer characters

2021 ◽  
Vol 98 (1-2) ◽  
pp. 255-258
Author(s):  
Xiaoyou Chen ◽  
Ni Du
Keyword(s):  
2013 ◽  
Vol 50 (2) ◽  
pp. 258-265
Author(s):  
Pál Hegedűs

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.


Author(s):  
KAY MAGAARD ◽  
GUNTER MALLE

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.


2017 ◽  
Vol 20 (6) ◽  
Author(s):  
Dan Rossi

AbstractFor a prime number


2017 ◽  
Vol 97 (2) ◽  
pp. 215-217
Author(s):  
XIAOYOU CHEN ◽  
MARK L. LEWIS

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.


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

2008 ◽  
Vol 51 (3) ◽  
pp. 779-783 ◽  
Author(s):  
Gabriel Navarro ◽  
Lucía Sanus

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.


1991 ◽  
Vol 34 (3) ◽  
pp. 423-425 ◽  
Author(s):  
You-Qiang Wang

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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