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Journal Article
STRICT REGULARITY FOR -COCYCLES OF FINITE GROUPS
2024
Overview
Let
$\\alpha $
be a complex-valued
$2$
-cocycle of a finite group
$G.$
A new concept of strict
$\\alpha $
-regularity is introduced and its basic properties are investigated. To illustrate the potential use of this concept, a new proof is offered to show that the number of orbits of
G
under its action on the set of complex-valued irreducible
$\\alpha _N$
-characters of
N
equals the number of
$\\alpha $
-regular conjugacy classes of
G
contained in
$N,$
where
N
is a normal subgroup of
$G.$
Publisher
Cambridge University Press
Subject
