5 papers · 1 filter
Hall-Higman type theorems for exceptional groups of Lie type, I
Pham Huu Tiep, A. E. Zalesski
The paper studies the minimum polynomial degrees of -elements in cross-characteristic representations of simple groups of exceptional Lie type whose BN-pair rank is at most 2. S…
Bounding p-Brauer characters in finite groups with two conjugacy classes of p-elements
Nguyen Ngoc Hung, Benjamin Sambale, Pham Huu Tiep
Let k(B_0) and l(B_0) respectively denote the number of ordinary and p-Brauer irreducible characters in the principal block B_0 of a finite group G. We prove that, if k(B_0)-l(B_0)…
Character Levels and Character Bounds. II
Robert M. Guralnick, Michael Larsen, Pham Huu Tiep
This paper is a continuation of [GLT], which develops a level theory and establishes strong character bounds for finite simple groups of linear and unitary type in the case that th…
Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems
Alexander Kleshchev, Lucia Morotti, Pham Huu Tiep
We study irreducible restrictions from modules over alternating groups to subgroups. We get reduction results which substantially restrict the classes of subgroups and modules for…
Brauer correspondent blocks with one simple module
Gabriel Navarro, Pam Huu Tiep, Carolina Vallejo
One of the main problems in representation theory is to understand the exact relationship between Brauer corresponding blocks of finite groups. The case where the local corresponde…