Mathematics > Group Theory
arXiv:2606.13933 (math)
[Submitted on 11 Jun 2026]
Abstract:We say a word in a free group is ``partially positive'' if there is at least one generator which appears in the word, but does not appear with negative exponent. We show that one-relator groups with a partially positive relator are residually solvable. This extends a theorem of Baumslag showing one-relator groups with positive relators are residually solvable.
Submission history
From: Siobhan O'Connor [view email]
[v1]
Thu, 11 Jun 2026 21:51:23 UTC (12 KB)
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