scholarly journals Defects of Irreducible Characters ofp-Soluble Groups

1998 ◽  
Vol 202 (1) ◽  
pp. 178-184 ◽  
Author(s):  
Laurence Barker
Keyword(s):  
Soluble Groups ◽  
Irreducible Characters

ON HIGHER FROBENIUS–SCHUR INDICATORS

2021 ◽  
pp. 1-11
Author(s):  
YANJUN LIU ◽  
WOLFGANG WILLEMS
Keyword(s):  
Finite Group ◽  
Representation Theory ◽  
Irreducible Characters ◽  
A Finite Group

Abstract Similarly to the Frobenius–Schur indicator of irreducible characters, we consider higher Frobenius–Schur indicators $\nu _{p^n}(\chi ) = |G|^{-1} \sum _{g \in G} \chi (g^{p^n})$ for primes p and $n \in \mathbb {N}$ , where G is a finite group and $\chi $ is a generalised character of G. These invariants give answers to interesting questions in representation theory. In particular, we give several characterisations of groups via higher Frobenius–Schur indicators.

scholarly journals On F-Normal Subgroups of Finite Soluble Groups

1995 ◽  
Vol 171 (1) ◽  
pp. 189-203 ◽  
Author(s):  
A. Ballesterbolinches ◽  
K. Doerk ◽  
M.D. Perezramos
Keyword(s):  
Normal Subgroups ◽  
Soluble Groups

The quotient of two Glauberman–Isaacs correspondences

2016 ◽  
Vol 15 (07) ◽  
pp. 1650138
Author(s):  
Alexandre Turull ◽  
Thomas R. Wolf
Keyword(s):  
Finite Group ◽  
Irreducible Characters ◽  
A Finite Group

Let a finite group [Formula: see text] act coprimely on a finite group [Formula: see text]. The Glauberman–Isaacs correspondence [Formula: see text] is a bijection from the set of [Formula: see text]-invariant irreducible characters of [Formula: see text] onto the set [Formula: see text] of irreducible characters of the centralizer of [Formula: see text] in [Formula: see text]. Let [Formula: see text] be a subgroup of [Formula: see text]. Composing from left to right, it follows that [Formula: see text] is an injection from [Formula: see text] into [Formula: see text]. We show that, in some cases, the map can be defined via the actions of some subgroups of [Formula: see text] containing [Formula: see text] on the centralizers in [Formula: see text] of some other such subgroups. We also show in many instances, such as [Formula: see text] odd or [Formula: see text] supersolvable and [Formula: see text] solvable, that this map is independent of the overgroup [Formula: see text].

scholarly journals Computing Double Cosets in Soluble Groups

2001 ◽  
Vol 31 (1-2) ◽  
pp. 179-192 ◽  
Author(s):  
Michael C. Slattery
Keyword(s):  
Soluble Groups ◽  
Double Cosets

On the cohomology of finite soluble groups

2015 ◽  
Vol 105 (2) ◽  
pp. 101-108
Author(s):  
Derek J. S. Robinson
Keyword(s):  
Soluble Groups

scholarly journals Centralisers of finite subgroups in soluble groups of type FP n

2011 ◽  
Vol 23 (1) ◽  
Author(s):  
Dessislava H. Kochloukova ◽  
Conchita Martínez-Pérez ◽  
Brita E. A. Nucinkis
Keyword(s):  
Soluble Groups ◽  
Finite Subgroups

A Note on the δ-length of Maximal Subgroups in Finite Soluble Groups

1994 ◽  
Vol 166 (1) ◽  
pp. 67-70 ◽  
Author(s):  
A. Ballester-Bolinches ◽  
M. D. Pérez-Ramos
Keyword(s):  
Maximal Subgroups ◽  
Soluble Groups

Prefrattini groups

1983 ◽  
Vol 34 (2) ◽  
pp. 234-247 ◽  
Author(s):  
Peter Förster
Keyword(s):  
Soluble Groups

AbstractWe define and investigate H-prefrattini subgroups for Schunck classes H of finite soluble groups, and solve a problem of Gaschütz concerning the structure of H-prefrattini groups for H = {1}.

scholarly journals A family of dominant Fitting classes of finite soluble groups

1998 ◽  
Vol 64 (1) ◽  
pp. 33-43 ◽  
Author(s):  
A. Ballester-Bolinches ◽  
A. Martínez-Pastor ◽  
M. D. Pérez-Ramos
Keyword(s):  
Large Family ◽  
Soluble Groups ◽  
Fitting Classes

AbstractIn this paper a large family of dominant Fitting classes of finite soluble groups and the description of the corresponding injectors are obtained. Classical constructions of nilpotent and Lockett injectors as well as p-nilpotent injectors arise as particular cases.

Sign in / Sign up

Export Citation Format

Share Document