The restricted isomorphism problem for metacyclic restricted Lie algebras
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- by Hamid Usefi
- Proc. Amer. Math. Soc. 136 (2008), 4125-4133
- DOI: https://doi.org/10.1090/S0002-9939-08-09632-9
- Published electronically: July 23, 2008
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Abstract:
Let $L$ be a restricted Lie algebra with the restricted enveloping algebra $u(L)$ over a perfect field of positive characteristic $p$. The restricted isomorphism problem asks what invariants of $L$ are determined by $u(L)$. This problem is the analogue of the modular isomorphism problem for finite $p$-groups. Bagiński and Sandling have given a positive answer to the modular isomorphism problem for metacyclic $p$-groups. In this paper, we provide a positive answer to the restricted isomorphism problem in case $L$ is metacyclic and $p$-nilpotent.References
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Bibliographic Information
- Hamid Usefi
- Affiliation: Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, BC, Canada, V6T 1Z2
- MR Author ID: 722015
- Email: usefi@math.ubc.ca
- Received by editor(s): September 28, 2007
- Published electronically: July 23, 2008
- Communicated by: Gail R. Letzter
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 4125-4133
- MSC (2000): Primary 17B35, 17B50; Secondary 20C05
- DOI: https://doi.org/10.1090/S0002-9939-08-09632-9
- MathSciNet review: 2431023