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research article
Endo-trivial modules: a reduction to p'-central extensions
We examine how, in prime characteristic p, the group of endotrivial modules of a finite group G and the group of endotrivial modules of a quotient of G modulo a normal subgroup of order prime to p are related. There is always an inflation map, but examples show that this map is in general not surjective. We prove that the situation is controlled by a single central extension, namely, the central extension given by a p′-representation group of the quotient of G by its largest normal p′-subgroup.
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Name
EndoModOp'-7.pdf
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Preprint
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openaccess
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383.61 KB
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Adobe PDF
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4c710010b3d78abdc7291d0e8535562b