The construction of groups in models of set theory that fail the Axiom of Choice

DOI10.1017/S0004972700025041zbMath0324.02055OpenAlexW2135820286WikidataQ114655075 ScholiaQ114655075MaRDI QIDQ4087177

John L. Hickman

Publication date: 1976

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700025041

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Automorphisms of infinite groups (20E36) Consistency and independence results (03E35) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Nonclassical and second-order set theories (03E70) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Axiom of choice and related propositions (03E25) Foundations (20A99)

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