Units in \(FD_{2p}\) (Q2834155)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Units in \(FD_{2p}\) |
scientific article; zbMATH DE number 6656637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Units in \(FD_{2p}\) |
scientific article; zbMATH DE number 6656637 |
Statements
25 November 2016
0 references
unitary units
0 references
unit group
0 references
group algebra
0 references
Units in \(FD_{2p}\) (English)
0 references
The authors consider the group algebra of a dihedral group of order \(2p\) over a field of characteristic \(p\) different from \(2\). This admits an involution * by taking the inverse of each element of \(G\) in the expression of an element of the group algebra. In this paper, the structure of the group of *-unitary units of the group algebra, as well as the structure of the maximal \(p\)-subgroup of the unit group, are studied.
0 references
0.8736240267753601
0 references
0.8550558090209961
0 references