On the universality of systems of words in permutation groups

DOI10.2140/PJM.1987.127.321zbMath0541.20003OpenAlexW1531072470MaRDI QIDQ794757

Saharon Shelah, Manfred Droste

Publication date: 1987

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1987.127.321

zbMATH Keywords

normal subgroupsgroup wordsinfinite symmetric groupsequationally equivalent

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Symmetric groups (20B30) Subgroups of symmetric groups (20B35)

Related Items (6)

Cubes of Conjugacy Classes Covering the Infinite Symmetric Group ⋮ On the Universality of Words for the Alternating Groups ⋮ Squares of Conjugacy Classes in the Infinite Symmetric Groups ⋮ Sets of universal sequences for the symmetric group and analogous semigroups ⋮ The reverse spelling of an FPrt-universal word in two letters ⋮ Classes of universal words for the infinite symmetric groups

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