The modular group algebra problem for metacyclic $p$-groups
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- by Robert Sandling PDF
- Proc. Amer. Math. Soc. 124 (1996), 1347-1350 Request permission
Abstract:
It is shown that the isomorphism type of a metacyclic $p$-group is determined by its group algebra over the field $F$ of $p$ elements. This completes work of Bagiński. It is also shown that, if a $p$-group $G$ has a cyclic commutator subgroup $G’$, then the order of the largest cyclic subgroup containing $G’$ is determined by $FG$.References
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Additional Information
- Robert Sandling
- Affiliation: Department of Mathematics, The University, Manchester M13 9PL, England
- Email: rsandling@manchester.ac.uk
- Received by editor(s): July 11, 1994
- Communicated by: Ronald M. Solomon
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1347-1350
- MSC (1991): Primary 20C05; Secondary 16S34, 16U60, 20C20, 20D15, 20F05
- DOI: https://doi.org/10.1090/S0002-9939-96-03518-6
- MathSciNet review: 1343723