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| Title: | Symmetric subgroups in modular group algebras |
| Authors: | Konovalov, Alexander
G. Krivokhata, A. |
| Keywords: | math.RA
math.GR
16S34
20C05
Rings and Algebras
Group Theory
QA Mathematics |
| Issue Date: | 5-Jan-2008 |
| Citation: | Konovalov , A & G. Krivokhata , A 2008 , ' Symmetric subgroups in modular group algebras ' Nauk. Visn. Uzhgorod. Univ., Ser. Mat., vol 9 . |
| 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). |
| Version: | Preprint |
| 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. |
| Status: | Peer reviewed |
| URI: | http://hdl.handle.net/10023/1417
http://arxiv.org/abs/0801.0809 |
| Type: | Journal article |
| Appears in Collections: | University of St Andrews Research
Computer Science Research
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