Twisted conjugacy classes of Automorphisms of Baumslag-Solitar groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Twisted conjugacy classes of Automorphisms of Baumslag-Solitar groups
|
|
| Creator |
Fel’shtyn, A.
Goncalves, D.L. |
|
| Description |
Let φ : G → G be a group endomorphism where G is a finitely generated group of exponential growth, and denote by R(φ) the number of twisted φ-conjugacy classes. Fel’shtyn and Hill [7] conjectured that if φ is injective, then R(φ) is infinite. This conjecture is true for automorphisms of non-elementary Gromov hyperbolic groups, see [17] and [6]. It was showed in [12] that the conjecture does not hold in general. Nevertheless in this paper, we show that the conjecture holds for injective homomorphisms for the family of the Baumslag-Solitar groups B(m,n) where m 6= n and either m or n is greater than 1, and for automorphisms for the case m = n > 1. family of the Baumslag-Solitar groups B(m,n) where m 6= n. |
|
| Date |
2019-06-20T03:07:55Z
2019-06-20T03:07:55Z 2006 |
|
| Type |
Article
|
|
| Identifier |
Twisted conjugacy classes of Automorphisms of Baumslag-Solitar groups / A. Fel’shtyn, D.L. Goncalves // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 36–48. — Бібліогр.: 22 назв. — англ.
1726-3255 2000 Mathematics Subject Classification: 20E45, 37C25, 55M20. http://dspace.nbuv.gov.ua/handle/123456789/157372 |
|
| Language |
en
|
|
| Relation |
Algebra and Discrete Mathematics
|
|
| Publisher |
Інститут прикладної математики і механіки НАН України
|
|