Bódi, Viktor and Dokuchaev, M.
(2002)
*Group algebras whose involutory units commute.*
Algebra Colloquium, 9 (1).
pp. 49-64.
ISSN 1005-3867

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## Abstract

Let K be a field of characteristic 2 and G a non-abelian locally finite 2-group. Let V(KG) be the group of units with augmentation 1 in the group algebra KG. An explicit list of groups is given, and it is proved that all involutions in V(KG) commute with each other if and only if G is isomorphic to one of the groups on this list. In particular, this property depends only on G and does not depend on K.

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

Depositing User: | Erika Bilicsi |

Date Deposited: | 16 Nov 2012 13:32 |

Last Modified: | 16 Nov 2012 13:32 |

URI: | http://real.mtak.hu/id/eprint/3392 |

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