arXiv:1409.3756 Abstract | arXiv Analytics

arXiv:1409.3756 [math.GR]Abstract References Reviews Resources

On the Dynamics of Endomorphisms of Finite Groups

Published 2014-09-12Version 1

We develop a general theory of the dynamical mapping behavior of endomorphisms of finite groups. As an application, we will count the isomorphism types of state spaces of finite cyclic groups in general, extending results of Hern\'andez-Toledo on primary cyclic groups of odd order.

Comments: 7 pages

Categories: math.GR

Subjects: 05C38, 05C60, 05C76, 05E15, 20D45, 20D60, 37P99

Keywords: finite groups, endomorphisms, finite cyclic groups, primary cyclic groups, general theory

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