TITLE:
Groups Having Elements Conjugate to Their Squares and Connections with Dynamical Systems
AUTHORS:
Geoffrey R. Goodson
KEYWORDS:
Conjugacy to Square, Homeomorphism on a Compact Space
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.5,
December
1,
2010
ABSTRACT: In recent years, dynamical systems which are conjugate to their squares have been studied in ergodic theory. In this paper we study the consequences of groups having elements which are conjugate to their squares and consider examples arising from topological dynamics and more general dynamical systems