Twisted Conjugacy for Virtually Cyclic Groups and Crystallographic Groups
A group is said to have the property R ∞ if every automorphism has an infinite number of twisted conjugacy classes. In this paper, we classify all virtually cyclic groups with the R ∞ property. Furthermore, we determine which of the 17 crystallographic groups of rank 2 have this property.
Mathematics Subject Classification (2000)Primary: 20E45 Secondary: 55M20
KeywordsReidemeister number elementary groups Gromov hyperbolic groups fixed point theory
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