The Existence of p-Blocks with a Submaximal-Subgroup of a Sylowp-Subgroup as Defect Group

Abstract

In this paper,we will determine the existence of blocks with submaximal subgroups of Sylow p-subgroups of a finite group G as defect groups.

Key Words:

• Submaximal subgroup
• Sylow p-subgroups
• p-block

Acknowledgments

The author is grateful to Professor S. M. Shi for his encouragement and useful discussion. He should also thank referee for helpful suggestions.

This paper was supported by NSFC and BNSF1992003.