Linear representations of random groups

Gady Kozma, Alexander Lubotzky

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We show that for a fixed k ∈ 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 < 16 such groups have a faithful linear representation over Q, a.a.s.

Original languageEnglish
Article number1950016
JournalBulletin of Mathematical Sciences
Volume9
Issue number3
DOIs
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© 2019 World Scientific. All rights reserved.

Keywords

  • Bezout Theorem
  • Random groups
  • representations

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