scholarly journals On Willems' conjecture on Brauer character degrees

2021 ◽  
Vol 380 ◽  
pp. 107609
Author(s):  
Gunter Malle
Keyword(s):  
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 /.

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

Some conjectures on Brauer character degrees

2020 ◽  
Vol 550 ◽  
pp. 210-218
Author(s):  
Hung P. Tong-Viet
Keyword(s):  
Character Degrees ◽  
Brauer Character

scholarly journals p -Parts of Brauer character degrees

2014 ◽  
Vol 403 ◽  
pp. 426-438 ◽  
Author(s):  
Gabriel Navarro ◽  
Pham Huu Tiep ◽  
Hung P. Tong-Viet
Keyword(s):  
Character Degrees ◽  
Brauer Character

A NOTE ON -PARTS OF BRAUER CHARACTER DEGREES

2020 ◽  
pp. 1-5
Author(s):  
JINBAO LI ◽  
YONG YANG
Keyword(s):  
Finite Group ◽  
Character Degree ◽  
Character Degrees ◽  
Brauer Character ◽  
A Finite Group

Let $G$ be a finite group and $p$ be an odd prime. We show that if $\mathbf{O}_{p}(G)=1$ and $p^{2}$ does not divide every irreducible $p$ -Brauer character degree of $G$ , then $|G|_{p}$ is bounded by $p^{3}$ when $p\geqslant 5$ or $p=3$ and $\mathsf{A}_{7}$ is not involved in $G$ , and by $3^{4}$ if $p=3$ and $\mathsf{A}_{7}$ is involved in $G$ .

A note on larger orbit size

2020 ◽  
Vol 23 (5) ◽  
pp. 913-916
Author(s):  
Ping Jin ◽  
Yong Yang
Keyword(s):  
Group Theory ◽  
Character Degrees ◽  
Alternating Groups ◽  
Brauer Character ◽  
Small Defect ◽  
Orbit Size ◽  
Open Question

AbstractIn this note, we present an improvement on the large orbit result of Halasi and Podoski, and then answer an open question raised in [X. Chen, J. P. Cossey, M. Lewis and H. P. Tong-Viet, Blocks of small defect in alternating groups and squares of Brauer character degrees, J. Group Theory 20 2017, 6, 1155–1173].

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