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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Invariants of some abelian $p$-groups
in characteristic $p$


Author: Mara D. Neusel
Journal: Proc. Amer. Math. Soc. 125 (1997), 1921-1931
MSC (1991): Primary 13A50
MathSciNet review: 1377000
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03814-8
PII: S 0002-9939(97)03814-8
Keywords: Polynomial invariants of finite groups
Received by editor(s): October 23, 1995
Received by editor(s) in revised form: January 16, 1996
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1997 American Mathematical Society