Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584246 | Journal of Algebra | 2015 | 16 Pages |
Abstract
Suppose that G is a finite p-solvable group and let N be a normal subgroup. Let μâIrr(N) with inertial group T in G. Suppose μ extends to a subgroup R of T containing N such that R/N is a Sylow p-subgroup of the quotient group T/N. We show that the set Irr(G|μ) of irreducible characters of G lying over μ can be partitioned into “μ-blocks” which behave like the classical Brauer p-blocks. We also establish a “well behaved” one-to-one correspondence between the μ-blocks of G and certain Brauer p-blocks of a central extension of T/N by a pâ²-subgroup.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A. Laradji,