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VOL. 57 | 2010 A fixed-point property of finitely generated groups and an energy of equivariant maps
Hiroyasu Izeki

Editor(s) Motoko Kotani, Masanori Hino, Takashi Kumagai

Abstract

The purpose of this article is to present sufficient conditions for an isometric action of a finitely generated group to have a fixed point in terms of an energy of equivariant maps (Proposition 2.1 and Theorem 3.1), which turn out to be useful in proving that groups with fixed-point property form a large family in the set of finitely presented groups. Most of the results are included in [7] and [8].

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1201.58014
MathSciNet: MR2648259

Digital Object Identifier: 10.2969/aspm/05710171

Subjects:
Primary: 20F65, 58E20

Rights: Copyright © 2010 Mathematical Society of Japan

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