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Rings of Invariants of Certainp-Groups over the FieldFp

✍ Scribed by H.E.A. Campbell; I.P. Hughes

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
135 KB
Volume
211
Category
Article
ISSN
0021-8693

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✦ Synopsis

We use Nakajima's J. Algebra 85 1983 , 253᎐286 characterization of p-groups with polynomial rings of invariants over the field F to prove that maximal proper p subgroups of such groups have rings of invariants that are hypersurfaces. We give an explicit construction for the ring of invariants of such a group, as a module over the ring of invariants of the total group.

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