## 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 [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 [4] Glauberman, G.: Central elements in core-free groups. J. of Algebra4, 403-420 (1966). · Zbl 0145.02802 [5] Higman, D.G.: Finite permutation groups of rank 3. Math. Zeitschr86, 145-156 (1964). · Zbl 0122.03205
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