Units of some group algebras of non-Abelian groups of order 24 over any finite field of characteristic 3. (Q2920255)
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scientific article; zbMATH DE number 6098609
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Units of some group algebras of non-Abelian groups of order 24 over any finite field of characteristic 3. |
scientific article; zbMATH DE number 6098609 |
Statements
25 October 2012
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group algebras
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groups of order 24
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characteristic 3
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group of normalized units
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unit groups
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products of cyclic groups
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group rings
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Units of some group algebras of non-Abelian groups of order 24 over any finite field of characteristic 3. (English)
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Recently considerable research has been done concerning the description of the structure of the group of normalized units \(V(FG)\) in case \(G\) is a finite group with a nontrivial \(p\)-Sylow subgroup and \(F\) is a finite field of prime characteristic \(p\), such as by \textit{J. Gildea} [Int. Electron. J. Algebra 9, 220-227 (2011; Zbl 1253.16036)]. The author here treats the case when \(G\) is one the nine nonabelian groups of order 24 with a normal 3-Sylow subgroup and \(p\) equals 3.
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