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arxiv: 1303.0941 · v2 · pith:IC7W7HKXnew · submitted 2013-03-05 · 🧮 math.GR

Twisted conjugacy classes of the unit element

classification 🧮 math.GR
keywords conjugacyelementtwistedunitautomorphismclassclassesevery
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We study twisted conjugacy classes of the unit element in different groups. Fel'shtyn and Troitsky showed that the twisted conjugacy class of the unit element of an abelian group is a subgroup for every automorphism. The structure is investigated of a group whose twisted conjugacy class of the unit element is a subgroup for every automorphism (inner automorphism).

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