Fischer, Bernd Finite groups generated by 3-transpositions. I. (English) Zbl 0232.20040 Invent. Math. 13, 232-246 (1971). Reviewer: N.Blackburn Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 17 ReviewsCited in 133 Documents 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 PDF BibTeX XML Cite \textit{B. Fischer}, Invent. Math. 13, 232--246 (1971; Zbl 0232.20040) Full Text: DOI EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.