Let V be a representation of a finite group G over a field of characteristic p. If p does not divide the group order, then Molien's formula gives the Hilbert series of the invariant ring. In this paper we find a replacement of Molien's formula which works in the case that G is divisible by p but not
Representable functions on the category of modular representations of a finite group with cyclic Sylow subgroup
β Scribed by P Donovan; M.R Freislich
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 529 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We prove that the group algebra of a finite group with a cyclic p-Sylow subgroup over an algebraically closed field is a specialization of a parameter-dependent multiplication structure which gives a semisimple algebra for general values of the parameter. We actually prove the existence of such a sp
Let p be a prime number and K be an algebraically closed field of characteristic p. Let G be a finite group and B be a (p-) block of G. We denote by l B the number of isomorphism classes of irreducible KG-modules in B. Let D be a defect group of B and let B 0 be the Brauer correspondent of B, that i