Invariants of some abelian $p$-groups in characteristic $p$
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- by Mara D. Neusel PDF
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Abstract:
An explicit description of the ring of polynomial invariants of cyclic groups of order $p^s$ with fixed point set of codimension 2, or with covariants of codimension 2, over a field of characteristic $p$ is given. It transpires that these rings are complete intersections. A slight generalization for some abelian $p$-groups is also derived, which leads to a result about arbitrary groups with $p$-Sylow subgroup of this type.References
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Additional Information
- Mara D. Neusel
- Affiliation: Institut für Algebra und Geometrie, Otto-von-Guericke-Universität, Postfach 4120, D 39016 Magdeburg, Germany
- Email: mara.neusel@mathematik.uni-magdeburg.de
- Received by editor(s): October 23, 1995
- Received by editor(s) in revised form: January 16, 1996
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1921-1931
- MSC (1991): Primary 13A50
- DOI: https://doi.org/10.1090/S0002-9939-97-03814-8
- MathSciNet review: 1377000