On finitely presented groups given by periodic relators

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Let a group G have a presentation of the form 〈sl∥Rn1, Rn2, . . . , Rns〉, where n = n1n2 ≥ 248, n1 is odd, n2 is a power of 2, and 29 divides n2 if n is even. It is proven that if G has no elements of order 2n2 then G is a hyperbolic group in which every finite subgroup is isomorphic to a subgroup of a direct product of dihedral groups.

Original languageEnglish (US)
Pages (from-to)95-99
Number of pages5
JournalJournal of Group Theory
Issue number1
StatePublished - 2000

ASJC Scopus subject areas

  • Algebra and Number Theory


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