The equation \(s=(x^ 2y^ 2)^ 3y^ 2\) is solvable in the symmetric group on Z

DOI10.1007/BF01224022zbMath0578.20004OpenAlexW2062303224MaRDI QIDQ1066257

Carlos Marcelo Sanchez

Publication date: 1986

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01224022

zbMATH Keywords

symmetric groupprimitive wordsequations in groupssuccessor permutation

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) General theory for infinite permutation groups (20B07) Symmetric groups (20B30)

Cites Work

• Products of conjugacy classes of the infinite symmetric groups
• Classes of universal words for the infinite symmetric groups
• Universal terms of the form \(B^nA^m\)
• \(B^n A^m\) is universal iff point universal
• On a theorem of Schreier and Ulam for countable permutations
• Representations of Infinite Permutations by Words
• Cubes of Conjugacy Classes Covering the Infinite Symmetric Group
• Are Primitive Words Universal for Infinite Symmetric Groups?

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