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Abstract: We introduce Auslander-Reiten sequences for group algebras and give severalrecent applications. The first part of the paper is devoted to some fundamentalproblems in Tate cohomology which are motivated by homotopy theory. In thesecond part of the paper we interpret Auslander-Reiten sequences in the contextof Galois theory and connect them to some important arithmetic objects.



Author: Sunil Chebolu, Ján Mináč

Source: https://arxiv.org/







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