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A characterization of endotrivial modules over p-groups

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Abstract:

Let P be a finite p-group, and let k a field of characteristic p>0. We prove that a finietly generated kG-module M is endotrivial if and only if

where PHom (-,-) is the set of endomorphisms which factor through projective modules.

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Received: 23 January 1998

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Carlson, J. A characterization of endotrivial modules over p-groups. manuscripta math. 97, 303–307 (1998). https://doi.org/10.1007/s002290050102

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  • DOI: https://doi.org/10.1007/s002290050102

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