Skip to content

Research at St Andrews

Symmetric subgroups in modular group algebras

Research output: Contribution to journalArticle

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).
Close

Details

Original languageEnglish
Number of pages5
JournalNauk. Visn. Uzhgorod. Univ., Ser. Mat.,
Volume9
Publication statusPublished - 5 Jan 2008

    Research areas

  • math.RA, math.GR, 16S34, 20C05, Rings and Algebras, Group Theory

Discover related content
Find related publications, people, projects and more using interactive charts.

View graph of relations

Related by author

  1. YangBaxter - Combinatorial Solutions for the Yang-Baxter equation, Version 0.7.0 (GAP package)

    Vendramin, L. & Konovalov, A., 23 Feb 2019

    Research output: Non-textual formSoftware

  2. GAP – Groups, Algorithms, and Programming, Version 4.10.1

    The GAP Group, Behrends, R., Breuer, T., Horn, M., Hulpke, A., Jefferson, C. A., Konovalov, A., Linton, S. A., Lübeck, F., Mitchell, J. D., Pfeiffer, M. J., Siccha, S. & Torpey, M. C., 23 Feb 2019

    Research output: Non-textual formSoftware

  3. On skew braces and their ideals

    Konovalov, A., Smoktunowicz, A. & Vendramin, L., 22 Dec 2018, In : Experimental Mathematics. Latest Articles, 10 p.

    Research output: Contribution to journalArticle

  4. LAGUNA - Lie AlGebras and UNits of group Algebras, Version 3.9.1 (Refereed GAP package)

    Bovdi, V., Konovalov, A., Rossmanith, R. & Schneider, C., 30 Nov 2018

    Research output: Non-textual formSoftware

ID: 4381154