Abstract
We determine the number of elements of order two in the group of normalized units V(IF2G) of the group algebra IF2G of a 2-group of maximal class over the field IF2 of two elements. As a consequence for the 2-groups G and H of maximal class we have that V(IF2G) and V(IF2H) are isomorphic if and only if G and H are isomorphic.
Original language | English |
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Pages (from-to) | 3227-3245 |
Number of pages | 19 |
Journal | Communications in Algebra |
Volume | 32 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2004 |
Externally published | Yes |
Keywords
- Element of order two
- Group algebra
- Group of units
- Isomorphism
ASJC Scopus subject areas
- Algebra and Number Theory