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 language | English |
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Article number | 1950016 |
Journal | Bulletin of Mathematical Sciences |
Volume | 9 |
Issue number | 3 |
DOIs | |
State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2019 World Scientific. All rights reserved.
Keywords
- Bezout Theorem
- Random groups
- representations