On a theorem of Baer, Schreier, and Ulam for permutations

DOI10.1016/0021-8693(79)90161-3zbMath0416.20001OpenAlexW2068329774MaRDI QIDQ754284

Manfred Droste, Rüdiger Göbel

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90161-3

zbMATH Keywords

Jordan-Hölder seriesinfinite symmetric groupproduct of conjugated factors

Mathematics Subject Classification ID

General theory for infinite permutation groups (20B07)

Related Items (13)

Cubes of Conjugacy Classes Covering the Infinite Symmetric Group ⋮ Conjugacy Classes Whose Square is an Infinite Symmetric Group ⋮ The normal subsemigroups of the monoid of injective maps. ⋮ ON MODEL-THEORETIC CONNECTED GROUPS ⋮ Are Primitive Words Universal for Infinite Symmetric Groups? ⋮ Parity features for classes of the infinite symmetric group ⋮ Normal Subgroups of Doubly Transitive Automorphism Groups of Chains ⋮ Monoids of injective maps closed under conjugation by permutations. ⋮ Squares of Conjugacy Classes in the Infinite Symmetric Groups ⋮ The reverse spelling of an FPrt-universal word in two letters ⋮ Products of Involution Classes in Infinite Symmetric Groups ⋮ Products of conjugacy classes of the infinite symmetric groups ⋮ Classes of universal words for the infinite symmetric groups

Cites Work

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• On stout and slender groups
• Permutations as products of conjugate infinite cycles
• Even permutations as a product of two conjugate cycles
• On a theorem of Schreier and Ulam for countable permutations
• Simple groups of infinite matrices
• Über die Permutationsgruppe der natürlichen Zahlenfolge
• Endliche Gruppen I
• On Outer-Commutator Words
• Some Remarks on Commutators

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