Abstract
A class of subgroups,N-injectors, previously defined only for soluble groups, is here defined for some non-soluble groups. It is proved that injectors have some properties which resemble those of Sylow subgroups.
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B. Fischer, W. Gaschütz and B. Hartley,Injektoren Endlicher Auflösbarer Gruppen, Math. Z.102 (1967), 337–339.
G. Glauberman,A characteristic subgroup of a p-stable group, Canad. J. Math.20 (1968), 1101–1135.
G. Glauberman,Prime-power factor groups of finite groups, Math. Z.107 (1968), 159–172.
D. Gorenstein,Finite groups, New York, Harper and Row, 1968.
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Mann, A. Injectors and normal subgroups of finite groups. Israel J. Math. 9, 554–558 (1971). https://doi.org/10.1007/BF02771470
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DOI: https://doi.org/10.1007/BF02771470