A MODULAR VERSION OF MASCHKE THEOREM FOR GROUPS WITH CYCLIC P-SYLOW SUBGROUPS

[摘要] 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 specialization for any block of cyclic defect group. (C) 1994 Academic Press, Inc.

[发布日期] 1994-02-01