Lie solvable groups algebras of derived length three.

@article{Sahai1995,
abstract = {Let K be a field of characteristic p > 2 and let G be a group. Necessary and sufficient conditions are obtained so that the group algebra KG is strongly Lie solvable of derived length at most 3. It is also shown that these conditions are equivalent to KG Lie solvable of derived length 3 in characteristic p ≥ 7.},
author = {Sahai, Meena},
journal = {Publicacions Matemàtiques},
keywords = {Algebra de Lie; Grupos resolubles finitos; Anillos conmutativos; strong Lie derived series; group rings; augmentation ideal},
language = {eng},
number = {2},
pages = {233-240},
title = {Lie solvable groups algebras of derived length three.},
url = {http://eudml.org/doc/41240},
volume = {39},
year = {1995},
}

TY - JOUR
AU - Sahai, Meena
TI - Lie solvable groups algebras of derived length three.
JO - Publicacions Matemàtiques
PY - 1995
VL - 39
IS - 2
SP - 233
EP - 240
AB - Let K be a field of characteristic p > 2 and let G be a group. Necessary and sufficient conditions are obtained so that the group algebra KG is strongly Lie solvable of derived length at most 3. It is also shown that these conditions are equivalent to KG Lie solvable of derived length 3 in characteristic p ≥ 7.
LA - eng
KW - Algebra de Lie; Grupos resolubles finitos; Anillos conmutativos; strong Lie derived series; group rings; augmentation ideal
UR - http://eudml.org/doc/41240
ER -