An investigation into the cyclically presented groups with length three\n positive relators

2018/06/18 by E.M. Mohamed, Mohamed, Esamaldeen, Gerald R. Williams +1
Engineering · Mathematics · #20F05 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1806.06821

openalex publication_date 2018/06/18 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We continue research into the cyclically presented groups with length three\npositive relators. We study small cancellation conditions and SQ-universality,\nwe obtain the Betti numbers of the groups' abelianisations, we calculate the\norders of the abelianisations of some groups, and we study isomorphism classes\nof the groups. Through computational experiments we assess how effective the\nabelianisation is as an invariant for distinguishing non-isomorphic groups.\n

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