The structure of the permutation modules for transitive p-groups of degree p2
β Scribed by M.S Audu
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 533 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Suppose that β is an infinite set and k is a natural number. Let β denote the set of all k-subsets of β and let F be a field. In this paper we study the Ε½ . w x k FSym β -submodule structure of the permutation module F β . Using the representation theory of finite symmetric groups, we show that ever
We complete data in Sims' list of the 406 primitive permutation groups of degree β€ 50, as given in a CAYLEY library, by an explicit description of the structure of the 202 groups missing till now. The completed list is available in MAGMA.
## Abstract Let __G__ be a __p__ βgroup of maximal class of order __p__^__m__^ , __p__ β 2, and __c__ (__G__) the degree of commutativity of __G__. Let __c__~0~ be the nonnegative residue of __c__ modulo __p__ β 1. In this paper, by using only Lie algebra techniques, we prove that 2__c β₯ m__ β 2__p