AbstractA conjecture of Michel Broué states that ifDis an abelian Sylowp-subgroup of a finite groupG, andH=NG(D), then the principal blocks ofGandHare Rickard equivalent. The structure of groups with abelian Sylowp-subgroups, as determined by P. Fong and M. E. Harris, raises the following question: Assuming that Broué's conjecture holds for the simple components ofG, under what conditions does it hold forGitself? Due to the structure ofG, this problem requires mainly the lifting of Rickard complexes top′-extensions of the simple components and the construction of complexes over wreath products. We give here these reduction steps, which may be regarded as a “Clifford theory” of tilting complexes
Let G be a finite group. Let k be an algebraically closed field of characteristic `> 0. We denote...
We show that each block of an alternating group over an arbitrary complete discrete valuation ring i...
This work is concerned with RoCK blocks (also known as Rouquier blocks) of symmetric groups. A RoCK ...
. A conjecture of Michel Brou'e states that if D is an abelian Sylow p-subgroup of a finite gr...
AbstractIn representation theory of finite groups, there is a well-known and important conjecture du...
AbstractThis article contains reduction theorems for some weaker variants of Donovan's conjecture, w...
AbstractA well-known conjecture of Broué in the representation theory of finite groups involves equi...
AbstractIn representation theory of finite groups, there is a well-known and important conjecture du...
AbstractLet p be a prime and k be an algebraically closed field of characteristic p. Let G and G′ be...
remark on $p$-blocks of finite groups with abelian defect groups (Shigeo Koshitani) $\mathrm{A}_{\ma...
AbstractIn representation theory of finite groups, there is a well-known and important conjecture du...
A remark on $p$-blocks of finite groups with abelian defect groups (Shigeo Koshitani) $\mathrm{A}_{\...
In this paper, we first determine the structure of the Sylow P-subgroup P of a finite group G contai...
AbstractBroué's abelian defect conjecture [Astérisque 181/182 (1990) 61–92, 6.2] predicts for a p-bl...
, we restrict ourselves, most of the time, to the case of principal blocks. 1. Basic context and Not...
Let G be a finite group. Let k be an algebraically closed field of characteristic `> 0. We denote...
We show that each block of an alternating group over an arbitrary complete discrete valuation ring i...
This work is concerned with RoCK blocks (also known as Rouquier blocks) of symmetric groups. A RoCK ...
. A conjecture of Michel Brou'e states that if D is an abelian Sylow p-subgroup of a finite gr...
AbstractIn representation theory of finite groups, there is a well-known and important conjecture du...
AbstractThis article contains reduction theorems for some weaker variants of Donovan's conjecture, w...
AbstractA well-known conjecture of Broué in the representation theory of finite groups involves equi...
AbstractIn representation theory of finite groups, there is a well-known and important conjecture du...
AbstractLet p be a prime and k be an algebraically closed field of characteristic p. Let G and G′ be...
remark on $p$-blocks of finite groups with abelian defect groups (Shigeo Koshitani) $\mathrm{A}_{\ma...
AbstractIn representation theory of finite groups, there is a well-known and important conjecture du...
A remark on $p$-blocks of finite groups with abelian defect groups (Shigeo Koshitani) $\mathrm{A}_{\...
In this paper, we first determine the structure of the Sylow P-subgroup P of a finite group G contai...
AbstractBroué's abelian defect conjecture [Astérisque 181/182 (1990) 61–92, 6.2] predicts for a p-bl...
, we restrict ourselves, most of the time, to the case of principal blocks. 1. Basic context and Not...
Let G be a finite group. Let k be an algebraically closed field of characteristic `> 0. We denote...
We show that each block of an alternating group over an arbitrary complete discrete valuation ring i...
This work is concerned with RoCK blocks (also known as Rouquier blocks) of symmetric groups. A RoCK ...