{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T03:05:59Z","timestamp":1772679959773,"version":"3.50.1"},"reference-count":11,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2024,1,29]],"date-time":"2024-01-29T00:00:00Z","timestamp":1706486400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":["cambridge.org"],"crossmark-restriction":true},"short-container-title":["Bull. Aust. Math. Soc."],"published-print":{"date-parts":[[2024,10]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Brazil<jats:italic>et al<\/jats:italic>. [\u2018Maximal subgroups of infinite symmetric groups\u2019,<jats:italic>Proc. Lond. Math. Soc. (3)<\/jats:italic><jats:bold>68<\/jats:bold>(1) (1994), 77\u2013111] provided a new family of maximal subgroups of the symmetric group<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" xlink:href=\"S0004972723001375_inline1.png\"\/><jats:tex-math>$G(X)$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>defined on an infinite set<jats:italic>X<\/jats:italic>. It is easy to see that, in this case,<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" xlink:href=\"S0004972723001375_inline2.png\"\/><jats:tex-math>$G(X)$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>contains subsemigroups that are not groups, but nothing is known about nongroup maximal subsemigroups of<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" xlink:href=\"S0004972723001375_inline3.png\"\/><jats:tex-math>$G(X)$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>. We provide infinitely many examples of such semigroups.<\/jats:p>","DOI":"10.1017\/s0004972723001375","type":"journal-article","created":{"date-parts":[[2024,1,29]],"date-time":"2024-01-29T09:43:20Z","timestamp":1706521400000},"page":"324-337","update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":1,"title":["MAXIMAL SUBSEMIGROUPS OF INFINITE SYMMETRIC GROUPS"],"prefix":"10.1017","volume":"110","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0618-2223","authenticated-orcid":false,"given":"SUZANA","family":"MENDES-GON\u00c7ALVES","sequence":"first","affiliation":[]},{"given":"R. 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