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Finite groups generated by 3-transpositions. I. (English) Zbl 0232.20040

MSC:
20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20D08 Simple groups: sporadic groups
20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
20D99 Abstract finite groups
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References:
[1] Baer, R.: Engelsche Elemente in noetherschen Gruppen. Math. Ann.133, 256-270 (1957). · Zbl 0078.01501 · doi:10.1007/BF02547953
[2] Coxeter, H., Moser, W.: Generators and relations for discrete groups. Berlin-Göttingen-Heidelberg-New York: Springer 1964. · Zbl 0077.02801
[3] Fischer, B.: A characterization of the symmetric groups on 4 and 5 letters. J. of Algebra3, 88-98 (1966). · Zbl 0139.25004 · doi:10.1016/0021-8693(66)90020-2
[4] Glauberman, G.: Central elements in core-free groups. J. of Algebra4, 403-420 (1966). · Zbl 0145.02802 · doi:10.1016/0021-8693(66)90030-5
[5] Higman, D.G.: Finite permutation groups of rank 3. Math. Zeitschr86, 145-156 (1964). · Zbl 0122.03205 · doi:10.1007/BF01111335
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