arXiv Analytics

Sign in

arXiv:2101.12534 [math.GR]AbstractReferencesReviewsResources

On surjectivity of word maps on $\mathrm{PSL}_2$

Urban Jezernik, Jonatan Sánchez

Published 2021-01-29Version 1

Let $w = [[x^k, y^l], [x^m, y^n]]$ be a non-trivial double commutator word. We show that $w$ is surjective on $\mathrm{PSL}_2(K)$, where $K$ is an algebraically closed field of characteristic $0$.

Comments: 12 pages
Categories: math.GR
Related articles: Most relevant | Search more
arXiv:1407.3447 [math.GR] (Published 2014-07-13, updated 2014-11-19)
Surjectivity of certain word maps on PSL(2,C) and SL(2,C)
arXiv:1106.1619 [math.GR] (Published 2011-06-08, updated 2011-10-10)
Surjectivity and equidistribution of the word x^ay^b on PSL(2,q) and SL(2,q)
arXiv:2411.07017 [math.GR] (Published 2024-11-11)
A survey on power maps in groups

Links

Toolbox