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.
Original language | English |
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Pages (from-to) | 49-64 |
Number of pages | 16 |
Journal | Algebra Colloquium |
Volume | 9 |
Issue number | 1 |
Publication status | Published - Mar 2002 |
Externally published | Yes |
Keywords
- Group algebra
- Group of units
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics