Bódi, Viktor
(2003)
*On a filtered multiplicative bases of group algebras II. Dedicated to Professor P. M. Gudivok on his 65th birthday.*
Algebras and Representation Theory, 6 (3).
pp. 353-368.
ISSN 1386-923X (print), 1572-9079 (online)

PDF
1037229.pdf Restricted to Registered users only Download (122kB) | Request a copy |

## Abstract

We give an explicit list of all p-groups G with a cyclic subgroup of index p(2), such that the group algebra KG over the field K of characteristic p has a filtered multiplicative K-basis. We also prove that such a K-basis does not exist for the group algebra KG, in the case when G is either a non-Abelian powerful p-group or a two generated p-group ( p not equal 2) with a central cyclic commutator subgroup. This paper is a continuation of the paper which appeared in Arch. Math. ( Basel) 74 ( 2000), 217 - 285.

Item Type: | Article |
---|---|

Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra |

Depositing User: | Erika Bilicsi |

Date Deposited: | 19 Nov 2012 08:36 |

Last Modified: | 19 Nov 2012 08:36 |

URI: | http://real.mtak.hu/id/eprint/3393 |

### Actions (login required)

Edit Item |