MATHEMATICS

Free $n$-periodic topological groups

L. V. Genze

Tomsk State University, Faculty of Mechanics and Mathematics

Abstract: In this paper we introduce the concepts of a free $n$-periodic topological group and a free abelian $n$-periodic topological group of the Tychonoff space $X$ and prove the existence of such groups.

Keywords: topological group, free group, $n$-periodic group, continuous homomorphism.

UDC: 512.546


Accepted: June 21, 2010

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