Uno's invariant conjecture for Chevalley groups G2(q) in nondefining characteristics

被引：0

作者：

An, Jianbei ^{[1
]}

机构：

[1] Univ Auckland, Dept Math, Auckland 1, New Zealand

来源：

JOURNAL OF ALGEBRA | 2007年 / 313卷 / 02期

关键词：

modular representation; blocks; Uno's conjecture; Chevalley groups;

D O I：

10.1016/j.jalgebra.2007.03.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Uno's invariant conjecture for the Chevalley groups G(2)(q) has been verified when the characteristic of the modular representation is distinct from the defining characteristic of the groups. Thus Dade's reductive conjecture and the Isaacs-Navarro conjecture both hold for G(2)(q) in non-defining characteristics. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：429 / 454

页数：26

共 50 条

[41] Verifying Huppert's Conjecture for 2 G 2(q 2)
Wakefield, Thomas P.
ALGEBRAS AND REPRESENTATION THEORY, 2011, 14 (04) : 609 - 623
[42] INVARIANT-THEORY OF G2
SCHWARZ, GW
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 9 (03) : 335 - 338
[43] An analytic invariant of G2 manifolds
Crowley, Diarmuid
Goette, Sebastian
Nordstrom, Johannes
INVENTIONES MATHEMATICAE, 2025, 239 (03) : 865 - 907
[44] On the Mathieu conjecture for Sp(N) and G2
Zwart, Kevin
JOURNAL OF MATHEMATICAL PHYSICS, 2024, 65 (07)
[45] ON CHEVALLEY-GROUPS OVER FIELDS OF ODD ORDER, THE UN-BALANCED GROUP CONJECTURE AND THE B(G)-CONJECTURE
HARRIS, ME
PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1980, 37 : 75 - 79
[46] Invariant measures of groups of homeomorphisms and Auslander's conjecture
Friedland, S
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1995, 15 : 1075 - 1089
[47] BLOCKS AND BRAUER TREES IN THE GROUPS G2(Q) FOR PRIMES DIVIDING Q+/-1
SHAMASH, J
COMMUNICATIONS IN ALGEBRA, 1989, 17 (08) : 1901 - 1949
[48] A CHARACTERIZATION OF FINITE SIMPLE GROUPS PSP(4,Q), G2(Q), D24(Q), .2
FONG, P
NAGOYA MATHEMATICAL JOURNAL, 1970, 39 : 39 - &
[49] Pairs of Short Root Subgroups in the Chevalley Group of Type G2
V. V. Nesterov
Journal of Mathematical Sciences, 2004, 120 (4) : 1630 - 1641
[50] Dade's invariant conjecture for general linear and unitary groups in non-defining characteristics
An, JB
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 353 (01) : 365 - 390

← 1 2 3 4 5 →