Abstract
Let be an algebraically closed field of prime characteristic , a finite group and a -subgroup of . We investigate the relationship between the fusion system and the Brauer indecomposability of the Scott -module. We give a result which shows that there exists some relationship between and its local subgroups in terms of the Brauer indecomposability of Scott modules.
Acknowledgments
The author would like to thank my advisor, Professor Naoko Kunugi, for her help and guidance. The author would like to thank Professor Tetsuro Okuyama for his helpful advices and for permission to include his examples. The author would like to thank Professor Shigeo Koshitani for his helpful suggestions and discussions. The author would like to thank both anonymous referees for their helpful comments and suggestions.
Citation
Hiroki Ishioka. "On Brauer indecomposability of Scott modules." SUT J. Math. 54 (1) 1 - 6, June 2018. https://doi.org/10.55937/sut/1536669416
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