Block separation in solvable groups |
| |
Authors: | Gabriel Navarro Alexandre Turull Thomas R Wolf |
| |
Institution: | (1) Departament d’ àlgebra, Universitat de València, 46100 Burjassot, Spain;(2) Department of Mathematics, University of Florida, Gainesville, FL 32611, USA;(3) Department of Mathematics, Ohio University, Athens, OH 47501, USA |
| |
Abstract: | If π is a set of primes, a finite group G is block π-separated if for every two distinct irreducible complex characters α, β ∈ Irr(G) there exists a prime p ∈ π such that α and β lie in different Brauer p-blocks. A group G is block separated if it is separated by the set of prime divisors of |G|. Given a set π with n different primes, we construct an example of a solvable π-group G which is block separated but it is not separated by every proper subset of π.
Received: 22 December 2004 |
| |
Keywords: | 20C20 |
本文献已被 SpringerLink 等数据库收录! |
|