Linear representations of random groups

Gady Kozma; Alexander Lubotzky

doi:10.1142/S1664360719500164

Linear representations of random groups

Gady Kozma, Alexander Lubotzky

Weizmann Institute of Science, The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

We show that for a fixed k is an element of N, Gromov random groups with any density d > 0 have no nontrivial degree k representations over any field, a.a.s. This is especially interesting in light of the results of Agol, Ollivier and Wise that when d <1/6 such groups have a faithful linear representation over Q, a.a.s.

Original language	English
Article number	1950016
Number of pages	12
Journal	Bulletin of Mathematical Sciences
Volume	9
Issue number	3
DOIs	https://doi.org/10.1142/S1664360719500164
State	Published - 15 May 2019

Keywords

Bezout Theorem
Random groups
representations

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1142/S1664360719500164License: CC BY

Cite this

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Linear representations of random groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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