Abstract
We discuss the torsionfree part of the group of endotrivial modules of a finite group G. this rank only depends on the p-subgroup structure of G and on the action of G by conjugation on its noncyclic elementary abelian p-subgroups. So, we make a detour via the category of noncyclic elementary abelian p-subgroups of a finite group. We end the chapter with results about finding “torsionfree” generators, and we present various partial results, including very recent ones.
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© 2019 The Author(s), under exclusive license to Springer Nature Switzerland AG
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Mazza, N. (2019). The Torsionfree Part of the Group of Endotrivial Modules. In: Endotrivial Modules. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-18156-7_4
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DOI: https://doi.org/10.1007/978-3-030-18156-7_4
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-18155-0
Online ISBN: 978-3-030-18156-7
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