TWISTED CONJUGACY CLASSES IN WREATH PRODUCTS
نویسندگان
چکیده
منابع مشابه
The Geometry of Twisted Conjugacy Classes in Wreath Products
We give a geometric proof based on recent work of Eskin, Fisher and Whyte that the lamplighter group Ln has infinitely many twisted conjugacy classes for any automorphism φ only when n is divisible by 2 or 3, originally proved by Gonçalves and Wong. We determine when the wreath product G o Z has this same property for several classes of finite groups G, including symmetric groups and some nilpo...
متن کاملTwisted Conjugacy Classes in Nilpotent Groups
A group is said to have the R∞ property if every automorphism has an infinite number of twisted conjugacy classes. We study the question whether G has the R∞ property when G is a finitely generated torsion-free nilpotent group. As a consequence, we show that for every positive integer n ≥ 5, there is a compact nilmanifold of dimension n on which every homeomorphism is isotopic to a fixed point ...
متن کاملWreath Products of Permutation Classes
A permutation class which is closed under pattern involvement may be described in terms of its basis. The wreath product construction X o Y of two permutation classes X and Y is also closed, and we investigate classes Y with the property that, for any finitely based class X, the wreath product X o Y is also finitely based.
متن کاملThe Conjugacy Problem in Wreath Products and Free Metabelian Groups
1. Introduction. The conjugacy problem was formulated by Dehn in 1912 for finitely presented groups [1]. The question was whether it can be effectively determined for such a group when two elements are conjugate. This general question was answered in the negative by Novikov in 1954 [6J. But it is still of interest to determine whether the problem is solvable for particular finitely presented gr...
متن کاملCOMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS
Suppose $G$ is a finite group, $A$ and $B$ are conjugacy classes of $G$ and $eta(AB)$ denotes the number of conjugacy classes contained in $AB$. The set of all $eta(AB)$ such that $A, B$ run over conjugacy classes of $G$ is denoted by $eta(G)$.The aim of this paper is to compute $eta(G)$, $G in { D_{2n}, T_{4n}, U_{6n}, V_{8n}, SD_{8n}}$ or $G$ is a decomposable group of order $2pq$, a group of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2006
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196706003219