Document Zbl 0488.20019

On the supersolvability of finite groups. I. (English) Zbl 0488.20019

Acta Math. Acad. Sci. Hung. 38, 57-59 (1981).

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MSC:

20D35	Subnormal subgroups of abstract finite groups
20D10	Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks

Keywords:

supersolvability of finite groups; subnormality; minimal subgroup; pronormality

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References:

[1]	J. Buckley, Finite groups whose minimal subgroups are normal,Math. Z.,116 (1970), 15–17. · Zbl 0202.02303 · doi:10.1007/BF01110184
[2]	Robert W. van der Waall, On minimal subgroups which are normal,J. Angew. u. Reine Math.,285 (1976), 77–78. · Zbl 0326.20020
[3]	K. Doerk, Minimal nicht überauflösbare, endliche Gruppen,Math. Z.,91 (1961), 198–205. · Zbl 0135.05401 · doi:10.1007/BF01312426
[4]	D. Gorenstein,Finite Groups, Harper-Row (New York, 1968).
[5]	M. Hall,The Theory of Groups, Macmillan (New York, 1959). · Zbl 0084.02202
[6]	W. R. Scott,Group Theory, Prentice-Hall (Englewood Cliffs, N. J., 1964).
[7]	B. Huppert,Endliche Gruppen. Springer (Berlin, 1967).
[8]	J. Tate, Nilpotent quotient groups,Topology,3 (1964). 109–111. · Zbl 0125.01503 · doi:10.1016/0040-9383(64)90008-4

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