Let V be a simple module for a finite group G, over a finite field F, and let H be a subgroup of G. Assuming that V is induced by an FH-module, we investigate some aspects of the structure of V viewed as a module for H. This kind of analysis turns out to play a central role in a problem concerning tensor induction for representations of finite groups.
On the structure of induced modules and tensor induction for group representations / E. Pacifici. - In: RENDICONTI DEL SEMINARIO MATEMATICO DELL'UNIVERSITA' DI PADOVA. - ISSN 0041-8994. - 115:(2006), pp. 71-84.
On the structure of induced modules and tensor induction for group representations
E. PacificiPrimo
2006
Abstract
Let V be a simple module for a finite group G, over a finite field F, and let H be a subgroup of G. Assuming that V is induced by an FH-module, we investigate some aspects of the structure of V viewed as a module for H. This kind of analysis turns out to play a central role in a problem concerning tensor induction for representations of finite groups.
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