Involutions and unitary subgroups in group algebras
Let FG be the group algebra of a finite group G over a field F of characteristic p. We give the maximal number of the non-isomorphic unitary subgroups with respect to the involutions of FG which arise from G. Furthermore, we characterize the group algebras with Hamiltonian unitary subgroup under the...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2013
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| Sorozat: | Acta scientiarum mathematicarum
79 No. 3-4 |
| Kulcsszavak: | Matematika, Algebra |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/32901 |
| Tartalmi kivonat: | Let FG be the group algebra of a finite group G over a field F of characteristic p. We give the maximal number of the non-isomorphic unitary subgroups with respect to the involutions of FG which arise from G. Furthermore, we characterize the group algebras with Hamiltonian unitary subgroup under the canonical involution, where G is a finite p-group and F is a finite field of characteristic p. Let FG denote the group algebra of a non-abelian group of order 8 over a finite field of characteristic two. We also describe the structure of the non-isomorphic unitary subgroups of FG linked to all the involutions which arise from G. |
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| Terjedelem/Fizikai jellemzők: | 391-400 |
| ISSN: | 0001-6969 |