Abstract
In this paper we present a necessary condition for a p-group V ≤ G to be a vertex of some indecomposable direct summand of the permutation module k H ↑ G , where H ≤ G, and G is a finite group. We call this condition H-suitability and present a method how to check for it. In an example, we determine all H-suitable groups. In fact, in this example every H-suitable group is the vertex of some indecomposable direct summand of k H ↑ G .
Key Words:
ACKNOWLEDGMENTS
I wish to express my deep gratitude to my supervisor John Murray for his constant help and valuable guidance.
Notes
Communicated by P. Tiep.