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- W3162815355 abstract "W. Burnside has proved that if a Sylow p–subgroup P of a finite group G is abelian and NG(P) = CG(P), then P has a normal complement, that is G is p–nilpotent. This result has been extended by A. Ballester-Bolinches and R. Esteban-Romero that have shown that if a Sylow p–subgroup P of a finite group G is modular and NG(P) = P CG(P), then G is p–nilpotent. In this paper we generalize the latter result to infinite groups. We show that a hyperfinite group G with a Sylow p–subgroup S that is modular and pronormal is p–nilpotent if and only if NG(S) is p-nilpotent." @default.
- W3162815355 created "2021-05-24" @default.
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- W3162815355 date "2013-01-01" @default.
- W3162815355 modified "2023-10-18" @default.
- W3162815355 title "On the existence of normal complement to the Sylow subgroups of some infinite groups" @default.
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- W3162815355 doi "https://doi.org/10.37193/cjm.2013.02.10" @default.
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