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Symmetric subgroups in modular group algebras
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dc.contributor.author | Konovalov, Alexander | |
dc.contributor.author | Krivokhata, A. G. | |
dc.date.accessioned | 2010-11-22T14:34:57Z | |
dc.date.available | 2010-11-22T14:34:57Z | |
dc.date.issued | 2008-01-05 | |
dc.identifier | 4381154 | |
dc.identifier | 92bb6d0e-23c6-4982-bc24-88f0bdc3aa62 | |
dc.identifier.citation | Konovalov , A & Krivokhata , A G 2008 , ' Symmetric subgroups in modular group algebras ' , Nauk. Visn. Uzhgorod. Univ., Ser. Mat., vol. 9 . | en |
dc.identifier.other | ArXiv: http://arxiv.org/abs/0801.0809v1 | |
dc.identifier.uri | https://hdl.handle.net/10023/1417 | |
dc.description | This preprint is translated from the original journal publication in Russian: A. Konovalov and A. Tsapok, Symmetric subgroups of the normalised unit group of the modular group algebra of a finite p-group, Nauk. Visn. Uzhgorod. Univ., Ser. Mat., 9 (2004), 20–24. | en |
dc.description.abstract | Let V(KG) be a normalised unit group of the modular group algebra of a finite p-group G over the field K of p elements. We introduce a notion of symmetric subgroups in V(KG) as subgroups invariant under the action of the classical involution of the group algebra KG. We study properties of symmetric subgroups and construct a counterexample to the conjecture by V.Bovdi, which states that V(KG)=<G,S*>, where S* is a set of symmetric units of V(KG). | |
dc.format.extent | 5 | |
dc.format.extent | 123772 | |
dc.language.iso | eng | |
dc.relation.ispartof | Nauk. Visn. Uzhgorod. Univ., Ser. Mat., | en |
dc.subject | math.RA | en |
dc.subject | math.GR | en |
dc.subject | 16S34 | en |
dc.subject | 20C05 | en |
dc.subject | Rings and Algebras | en |
dc.subject | Group Theory | en |
dc.subject | QA Mathematics | en |
dc.subject.lcc | QA | en |
dc.title | Symmetric subgroups in modular group algebras | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. School of Computer Science | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.description.status | Peer reviewed | en |
dc.identifier.url | http://arxiv.org/abs/0801.0809 | en |
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