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- W2022118993 abstract "Abstract Let L = HK be a semidirect product of a normal locally finite π′-group H by a locally finite π′-group K , where π, is a set of primes. Suppose C K (H) = 1 and L is Sylow π-sparse (which in the countable case just says that the Sylow π-subgroups of L are conjugate). This paper completes the characterization of those groups which can occur as K —this had previously been obtained under the assumption that L is locally soluble. The answer is the same—essentially that the groups occurring are those having a subgroup of finite index which is a subdirect product of so-called “pinched” groups." @default.
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- W2022118993 date "1976-12-01" @default.
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- W2022118993 title "The Schur-Zassenhaus theorem in locally finite groups" @default.
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- W2022118993 doi "https://doi.org/10.1017/s1446788700016359" @default.
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