{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T02:39:06Z","timestamp":1649126346261},"reference-count":6,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2009,4,17]],"date-time":"2009-04-17T00:00:00Z","timestamp":1239926400000},"content-version":"unspecified","delay-in-days":10182,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Bull. Austral. Math. Soc."],"published-print":{"date-parts":[[1981,6]]},"abstract":"<jats:p>In a recent paper, Cusack has given a criterion, in terms of the Fitting class \u201cjoin\u201d operation, for a normal Fitting class to be closed under the taking of Hall \u03c0-subgroups. Here we show that Cusack's result can be slightly modified so as to give a criterion for <jats:italic>any<\/jats:italic> Fitting class of finite soluble groups to be closed under taking Hall \u03c0-subgroups.<\/jats:p>","DOI":"10.1017\/s0004972700007243","type":"journal-article","created":{"date-parts":[[2009,4,17]],"date-time":"2009-04-17T10:44:52Z","timestamp":1239965092000},"page":"361-365","source":"Crossref","is-referenced-by-count":2,"title":["A criterion for the Hall-closure of Fitting classes"],"prefix":"10.1017","volume":"23","author":[{"given":"Owen J.","family":"Brison","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2009,4,17]]},"reference":[{"key":"S0004972700007243_ref003","doi-asserted-by":"publisher","DOI":"10.1007\/BF01222717"},{"key":"S0004972700007243_ref005","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972700006055"},{"key":"S0004972700007243_ref001","doi-asserted-by":"publisher","DOI":"10.1007\/BF01215119"},{"key":"S0004972700007243_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/BF01215242"},{"key":"S0004972700007243_ref002","doi-asserted-by":"publisher","DOI":"10.1007\/BF01109888"},{"key":"S0004972700007243_ref006","doi-asserted-by":"publisher","DOI":"10.1007\/BF01214854"}],"container-title":["Bulletin of the Australian Mathematical Society"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0004972700007243","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,25]],"date-time":"2019-05-25T16:05:09Z","timestamp":1558800309000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0004972700007243\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1981,6]]},"references-count":6,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1981,6]]}},"alternative-id":["S0004972700007243"],"URL":"https:\/\/doi.org\/10.1017\/s0004972700007243","relation":{},"ISSN":["0004-9727","1755-1633"],"issn-type":[{"value":"0004-9727","type":"print"},{"value":"1755-1633","type":"electronic"}],"subject":[],"published":{"date-parts":[[1981,6]]}}}