Group algebras with centrally metabelian unit groups.

Sahai, Meena. "Group algebras with centrally metabelian unit groups.." Publicacions Matemàtiques 40.2 (1996): 443-456. <http://eudml.org/doc/41264>.

@article{Sahai1996,
abstract = {Given a field K of characteristic p &gt; 2 and a finite group G, necessary and sufficient conditions for the unit group U(KG) of the group algebra KG to be centrally metabelian are obtained. It is observed that U(KG) is centrally metabelian if and only if KG is Lie centrally metabelian.},
author = {Sahai, Meena},
journal = {Publicacions Matemàtiques},
keywords = {Algebra de grupo; Grupos de Lie; Grupos finitos; Grupos abelianos; Características; Grupo unitario; centrally metabelian unit groups; finite groups; group algebras},
language = {eng},
number = {2},
pages = {443-456},
title = {Group algebras with centrally metabelian unit groups.},
url = {http://eudml.org/doc/41264},
volume = {40},
year = {1996},
}

TY - JOUR
AU - Sahai, Meena
TI - Group algebras with centrally metabelian unit groups.
JO - Publicacions Matemàtiques
PY - 1996
VL - 40
IS - 2
SP - 443
EP - 456
AB - Given a field K of characteristic p &gt; 2 and a finite group G, necessary and sufficient conditions for the unit group U(KG) of the group algebra KG to be centrally metabelian are obtained. It is observed that U(KG) is centrally metabelian if and only if KG is Lie centrally metabelian.
LA - eng
KW - Algebra de grupo; Grupos de Lie; Grupos finitos; Grupos abelianos; Características; Grupo unitario; centrally metabelian unit groups; finite groups; group algebras
UR - http://eudml.org/doc/41264
ER -