scholarly journals Thep-parts of Brauer character degrees inp-solvable groups

1991 ◽  
Vol 148 (2) ◽  
pp. 351-367 ◽  
Author(s):  
You-Qiang Wang
Keyword(s):  
Solvable Groups ◽  
Character Degrees ◽  
Brauer Character

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 /.

Orbits and Stabilizers for Solvable Linear Groups

2006 ◽  
Vol 49 (2) ◽  
pp. 285-295 ◽  
Author(s):  
Jeffrey M. Riedl
Keyword(s):  
Vector Space ◽  
Finite Groups ◽  
Irreducible Character ◽  
General Class ◽  
Frobenius Group ◽  
Solvable Groups ◽  
Character Degrees ◽  
Linear Groups ◽  
Finite Vector ◽  
Finite Vector Space

AbstractWe extend a result of Noritzsch, which describes the orbit sizes in the action of a Frobenius group G on a finite vector space V under certain conditions, to a more general class of finite solvable groups G. This result has applications in computing irreducible character degrees of finite groups. Another application, proved here, is a result concerning the structure of certain groups with few complex irreducible character degrees.

FINITE SOLVABLE GROUPS WITH DISTINCT MONOMIAL CHARACTER DEGREES

2019 ◽  
Vol 108 (3) ◽  
pp. 387-401
Author(s):  
GUOHUA QIAN ◽  
YONG YANG
Keyword(s):  
Solvable Groups ◽  
Character Degrees ◽  
Monomial Character

In this paper we classify the finite solvable groups in which distinct nonlinear monomial characters have distinct degrees.

scholarly journals Sylow Normalizers and Brauer Character Degrees

2000 ◽  
Vol 229 (2) ◽  
pp. 623-631
Author(s):  
Antonio Beltrán ◽  
Gabriel Navarro
Keyword(s):  
Character Degrees ◽  
Brauer Character

Blocks of small defect in alternating groups and squares of Brauer character degrees

2017 ◽  
Vol 20 (6) ◽  
Author(s):  
Xiaoyou Chen ◽  
James P. Cossey ◽  
Mark L. Lewis ◽  
Hung P. Tong-Viet
Keyword(s):  
Character Degrees ◽  
Alternating Groups ◽  
Brauer Character ◽  
Small Defect

AbstractLet

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