Twisted conjugacy separable groups

Details Twisted conjugacy separable groups Twisted conjugacy separable groups

2006-06-29

arxiv.org/abs/math/0606764v2

Mathematics

Group Theory

v2: Sect.9 about residually finite groups is added, giving an affirmative answer to Quest.4 of Sect.8. Some refinements on the

Scientific paper

We study the notion of twisted conjugacy separability (essentially introduced in our previous paper for a proof of twisted version of Burnside-Frobenius theorem) and some related properties. We give examples of groups with and without this property and study its behavior under some extensions. An affirmative answer to the twisted Dehn conjugacy problem for polycyclic-by-finite group is obtained. Some problems for the further study are indicated.

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