Cohomologies of shevalle's finite groups with coefficients in some modules over fields of own characteristics

Abstract

Estimations of the dimensionality of first and second groups of cohomologies of the Shevalle's finite group with coefficients in the irreducible module have been obtained in the paper. 1-cohomologies of Shevalle's finite groups with coefficients in modules with one-dimensional weighting spaces and in some modules with the non-radical highest weights have been found. The analogous results about 2-cohomologies have been obtained.The paper results may find their field of application in representation theory, theory of finite groupsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio