On units of group algebras of 2-groups of maximal class
Rings and Algebras
2007-05-23 v1 Group Theory
Abstract
We determine the number of elements of order two in the group of normalized units V(F_2G) of the group algebra F_2G of a 2-group of maximal class over the field F_2 of two elements. As a consequence for the 2-groups G and H of maximal class we have that V(F_2G) and V(F_2H) are isomorphic if and only if G and H are isomorphic.
Cite
@article{arxiv.math/0507208,
title = {On units of group algebras of 2-groups of maximal class},
author = {Zs. Balogh and A. Bovdi},
journal= {arXiv preprint arXiv:math/0507208},
year = {2007}
}