Endotrivial Modules by Nadia Mazza

Author:Nadia Mazza
Language: eng
Format: epub, pdf
ISBN: 9783030181567
Publisher: Springer International Publishing

Proposition 3.3.

Let G be a finite group and . Let .

1.T(G) is finitely generated. Hence , where TT(G) has finite order and TF(G) is a finitely generated torsionfree subgroup of T(G).

2.The restriction map is injective.

3.If H is a strongly p-embedded subgroup of G, then is an isomorphism, with inverse . In particular, if S is a trivial intersection subgroup of G, then is an isomorphism.

4.If M is an endotrivial kG-module, then M is a direct summand of for some endotrivial kS-module V.

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