Extending groups by monoids

DOI10.1016/0021-8693(82)90002-3zbMath0479.20036OpenAlexW2062707229MaRDI QIDQ1161627

Jonathan Leech

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90002-3

zbMATH Keywords

central extensionsnormal extensionsextension categorycocycle groupsgroup-by-monoid extension theoryH-coextension theory

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Connections of semigroups with homological algebra and category theory (20M50) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items

Arithmetic infinite Grassmannians and the induced central extensions ⋮ A survey of Schreier-type extensions of monoids ⋮ Structure and classification of monoidal groupoids ⋮ Unnamed Item ⋮ The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations ⋮ Quotients of monoid extensions and their interplay with Baer sums ⋮ Schreier split extensions of preordered monoids ⋮ Graded extensions of categories

Cites Work

• Coset extensions of \(S\)-sets.
• Structure of the Semigroup of Semigroup Extensions
• Semigroup Extensions.
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