Advanced Studies in Pure Mathematics

Fixed-point theorems for random groups

Takefumi Kondo

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Abstract

This article is an exposition of fixed-point theorems for random groups of the triangular model and of the graph model obtained in joint works with Izeki and Nayatani [11, 12].

Article information

Source
Probabilistic Approach to Geometry, M. Kotani, M. Hino and T. Kumagai, eds. (Tokyo: Mathematical Society of Japan, 2010), 263-272

Dates
Received: 29 January 2009
Revised: 22 May 2009
First available in Project Euclid: 24 November 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1543086323

Digital Object Identifier
doi:10.2969/aspm/05710263

Mathematical Reviews number (MathSciNet)
MR2648264

Zentralblatt MATH identifier
1239.20081

Subjects
Primary: 20F67: Hyperbolic groups and nonpositively curved groups 20F69: Asymptotic properties of groups 20P05: Probabilistic methods in group theory [See also 60Bxx]

Keywords
Fixed-point property random groups CAT(0) space

Citation

Kondo, Takefumi. Fixed-point theorems for random groups. Probabilistic Approach to Geometry, 263--272, Mathematical Society of Japan, Tokyo, Japan, 2010. doi:10.2969/aspm/05710263. https://projecteuclid.org/euclid.aspm/1543086323


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