[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b190316

ON THE ACTIONS OF HIGMAN-THOMPSON GROUPS BY HOMEOMORPHISMS

Kim, Jin Hong (Department of Mathematics Education Chosun University)

Publication Information

Bulletin of the Korean Mathematical Society / v.57, no.2, 2020 , pp. 449-457 More about this Journal

Abstract

The aim of this short paper is to show some rigidity results for the actions of certain finitely presented groups by homeomorphisms. As an interesting and special case, we show that the actions of Higman-Thompson groups by homeomorphisms on a cohomology manifold with a non-zero Euler characteristic should be trivial. This is related to the wellknown Zimmer program and shows that the actions by homeomorphism could be very much different from those by diffeomorphisms.

Keywords

Higman-Thompson groups; finitely presented infinite simple groups; finite abelian groups; cohomology manifolds; Zimmer program;

Citations & Related Records

Reference

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