Duality in non-abelian algebra. IV. Duality for groups and a universal isomorphism theorem

DOI10.1016/j.aim.2019.04.019OpenAlexW2962774929WikidataQ128027293 ScholiaQ128027293MaRDI QIDQ2417748

Amartya Goswami, Zurab Janelidze

Publication date: 29 May 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01863

zbMATH Keywords

semi-abelian categoryisomorphism theoremsconnecting homomorphismgroup-like structuresbutterfly lemmaduality for groups

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Nonabelian homological algebra (category-theoretic aspects) (18G50) Fibered categories (18D30) Subalgebras, congruence relations (08A30) Abelian categories, Grothendieck categories (18E10) Category of groups (20J15) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Axiomatics and elementary properties of groups (20A05)

Related Items (5)

Unnamed Item ⋮ Salamander lemma for non-abelian group-like structures ⋮ Combinatorics arising from lax colimits of posets ⋮ Unnamed Item ⋮ L-homologies of double complexes

Cites Work

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• Semi-abelian categories

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