𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Representable functions on the category of modular representations of a finite group with cyclic Sylow subgroup

✍ Scribed by P Donovan; M.R Freislich


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
529 KB
Volume
32
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Symmetric Powers of Modular Representati
✍ Ian Hughes; Gregor Kemper πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 207 KB

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

A Modular Version of Maschkeβ€²s Theorem f
✍ M. Schaps πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 499 KB

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

On the Principal Blocks of Finite Groups
✍ Masato Sawabe; Atumi Watanabe πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 149 KB

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