Some problems on the universality of words in groups

DOI10.1007/BF02483104zbMath0388.20030OpenAlexW2025694061MaRDI QIDQ1250506

Siemion Fajtlowicz, Jan Mycielski, Andrzej Ehrenfeucht, Jerome I. Malitz

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf02483104

zbMATH Keywords

universal words in infinite symmetric groups

Mathematics Subject Classification ID

General theory for infinite permutation groups (20B07) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (5)

Even permutations as a product of two elements of order five ⋮ Representations of Infinite Permutations by Words ⋮ Are Primitive Words Universal for Infinite Symmetric Groups? ⋮ Some Universal Sets of Terms ⋮ On the Universality of Words for the Alternating Groups

Cites Work

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• Universal terms of complexity three
• When is a term point universal?
• Universal terms of the form \(B^nA^m\)
• Decomposing a transformation with an involution
• Can One Solve Equations in Group?
• Equations Unsolvable in GL 2 (C) and Related Problems

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