Hickman, J. L. The construction of groups in models of set theory that fail the axiom of choice. (English) Zbl 0324.02055 Bull. Aust. Math. Soc. 14, 199-232 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 3 Documents MSC: 03E35 Consistency and independence results 03E70 Nonclassical and second-order set theories 20A99 Foundations 20E34 General structure theorems for groups 03E25 Axiom of choice and related propositions 20F10 Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) 20E36 Automorphisms of infinite groups 20K30 Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Jech, The Axiom of Choice 75 (1973) [2] Hickman, Bull. Austral. Math. Soc. 13 pp 355– (1975) [3] Miller, Messenger Math. 27 pp 119– (1898) [4] Zassenhaus, The theory of groups (1958) [5] DOI: 10.1016/S0049-237X(08)71789-0 · doi:10.1016/S0049-237X(08)71789-0 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.