Automorphisms of the Gersten Group

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Abstract

The Gersten group $ G $ is the split extension (Formula Presented.) of the free group F3 with basis {a,b,c} bythe automorphism ϕ : a → a, b → ba, c → ca2.We describe the generators and structure of the group Out(G) and prove that(Formula Presented.).

Original languageEnglish
Pages (from-to)413-422
Number of pages10
JournalSiberian Mathematical Journal
Volume62
Issue number3
DOIs
Publication statusPublished - May 2021

Keywords

  • 512.54
  • automorphism
  • free group
  • Gersten group
  • outer automorphism group

OECD FOS+WOS

  • 1.01 MATHEMATICS

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