Gilman's Conjecture

2018/06/16 by Eisenberg, Andy, Piggott, Adam · 1 citation
#20E06 #20E08 #20F10 #68Q42 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1806.06155

Abstract

We prove a conjecture made by Gilman in 1984 that the groups presented by finite, monadic, confluent rewriting systems are precisely the free products of free and finite groups.

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• New constructions of free products and geodetic Cayley graphs

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