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Bryukhanova, E. G.

The 2-length and 2-period of a finite solvable group. (English) Zbl 0457.20026

Algebra Logic 18, 5-20 (1979).
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Cited in 9 Documents

MSC:

20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure

Keywords:

p-length; p-solvable groups; Sylow 2-subgroups

Citations:

Zbl 0448.20021; Zbl 0073.255; Zbl 0136.015; Zbl 0132.018
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Full Text: DOI

References:

[1] P. Hall and G. Higman, ”The p-length of a p-soluble group and reduction theorems for Burnside’s problem,” Proc. London Math. Soc.,7, 1–42 (1956). · Zbl 0073.25503 · doi:10.1112/plms/s3-6.1.1
[2] F. Gross, ”The 2-length of a finite solvable group,” Pac. J. Math.,15, No. 4, 1221–1237 (1965). · Zbl 0136.01501
[3] F. Gross, ”The 2-length of groups whose Sylow 2-groups are of exponent 4,” J. Algebra,2, No. 3, 312–314 (1965). · Zbl 0132.01801 · doi:10.1016/0021-8693(65)90012-8
[4] D. Gorenstein, Finite Groups, Harper and Row, New York (1968).
[5] J. G. Thompson, ”A special class of non-solvable groups,” Math. Z.,72, No. 5, 458–462 (1960). · Zbl 0093.02601 · doi:10.1007/BF01162968
[6] B. Huppert, Endliche Gruppen I, Springer-Verlag, Berlin (1967). · Zbl 0217.07201
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