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A note on Sylow intersections. (English) Zbl 0336.20015


MSC:

20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
Full Text: DOI

References:

[1] Daniel Gorenstein, Finite groups, Harper & Row, Publishers, New York-London, 1968. · Zbl 0463.20012
[2] Marcel Herzog, Intersections of nilpotent Hall subgroups, Pacific J. Math. 36 (1971), 331 – 333. · Zbl 0217.35701
[3] Marcel Herzog, On Sylow intersections, Proc. Amer. Math. Soc. 37 (1973), 352 – 354. · Zbl 0257.20016
[4] Noboru Itô, Über den kleinsten \?-Durchschnitt auflösbarer Gruppen, Arch. Math. (Basel) 9 (1958), 27 – 32 (German). · Zbl 0086.02304 · doi:10.1007/BF02287057
[5] Thomas J. Laffey, A remark on minimal Sylow intersections, Bull. London Math. Soc. 4 (1972), 377. · Zbl 0261.20011 · doi:10.1112/blms/4.3.377
[6] Thomas J. Laffey, On minimal Sylow intersections, J. London Math. Soc. (2) 12 (1975/76), no. 3, 383 – 384. · Zbl 0323.20021 · doi:10.1112/jlms/s2-12.3.383
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