On the Jacobson radical and unit groups of group álgebras.

Meena Sahai

Publicacions Matemàtiques (1998)

  • Volume: 42, Issue: 2, page 339-346
  • ISSN: 0214-1493

Abstract

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In this paper, we study the situation as to when the unit group U(KG) of a group algebra KG equals K*G(1 + J(KG)), where K is a field of characteristic p > 0 and G is a finite group.

How to cite

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Sahai, Meena. "On the Jacobson radical and unit groups of group álgebras.." Publicacions Matemàtiques 42.2 (1998): 339-346. <http://eudml.org/doc/41352>.

@article{Sahai1998,
abstract = {In this paper, we study the situation as to when the unit group U(KG) of a group algebra KG equals K*G(1 + J(KG)), where K is a field of characteristic p &gt; 0 and G is a finite group.},
author = {Sahai, Meena},
journal = {Publicacions Matemàtiques},
keywords = {Algebra de grupo; Grupos resolubles finitos; Grupos localmente finitos; Grupo unitario; Subgrupos de Sylow; Algebra cociente; Isomorfismo; unit groups; group rings; Jacobson radical; locally finite groups; finite solvable groups},
language = {eng},
number = {2},
pages = {339-346},
title = {On the Jacobson radical and unit groups of group álgebras.},
url = {http://eudml.org/doc/41352},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Sahai, Meena
TI - On the Jacobson radical and unit groups of group álgebras.
JO - Publicacions Matemàtiques
PY - 1998
VL - 42
IS - 2
SP - 339
EP - 346
AB - In this paper, we study the situation as to when the unit group U(KG) of a group algebra KG equals K*G(1 + J(KG)), where K is a field of characteristic p &gt; 0 and G is a finite group.
LA - eng
KW - Algebra de grupo; Grupos resolubles finitos; Grupos localmente finitos; Grupo unitario; Subgrupos de Sylow; Algebra cociente; Isomorfismo; unit groups; group rings; Jacobson radical; locally finite groups; finite solvable groups
UR - http://eudml.org/doc/41352
ER -

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