On Ore’s Theorem and Universal Words for Permutations and Injections of Infinite Sets

DOI10.1007/978-3-319-51718-6_12zbMath1436.20115OpenAlexW2620570778MaRDI QIDQ3298255

Manfred Droste

Publication date: 14 July 2020

Published in: Groups, Modules, and Model Theory - Surveys and Recent Developments (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51718-6_12

zbMATH Keywords

permutationscommutatorsOre's theoreminfinite symmetric groupuniversal wordsmonoid of injections

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Infinite automorphism groups (20B27)

Cites Work

• The normal subsemigroups of the monoid of injective maps.
• Conjugation of injections by permutations.
• The Ore conjecture.
• Classes of universal words for the infinite symmetric groups
• Monoids of injective maps closed under conjugation by permutations.
• Representations of Infinite Permutations by Words
• On extension of coverings
• Commutators in a Semi-Simple Lie Group
• Representations of infinite permutations by words (II)
• Commutators in Semi-Simple Algebraic Groups
• Some Remarks on Commutators

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