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Twisted conjugacy classes in saturated weakly branch groups |
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| Authors: | Alexander Fel’shtyn Yuriy Leonov Evgenij Troitsky |
| Affiliation: | (1) Instytut Matematyki, Uniwersytet Szczecinski, ul. Wielkopolska 15, Szczecin, 70-451, Poland;(2) Department of Mathematics, Boise State University, 1910 University Drive, Boise, Idaho 83725-155, USA;(3) IT Department, Odessa Academy of Telecommunications, Kuznechnaja street, 1, Odessa, 65000, Ukraine;(4) Department of Mechanics and Mathmatics, Moscow State University, Moscow, 119992 GSP-2, Russia |
| Abstract: | For a wide class of saturated weakly branch groups, including the (first) Grigorchuk group and the Gupta-Sidki group, we prove that the Reidemeister number of any automorphism is infinite. |
| Keywords: | Reidemeister number Twisted conjugacy classes Burnside-Frobenius theorem Weakly branch group Grigorchuk group Gupta-Sidki group |
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