Document Zbl 0373.20018

Fitting lengths of groups with automorphisms. (English) Zbl 0373.20018

J. Pure Appl. Algebra 11(1977), 103-104 (1978).

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MSC:

20D10	Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20D25	Special subgroups (Frattini, Fitting, etc.)
20D45	Automorphisms of abstract finite groups

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[1]	Collins, M. J., Finite groups admitting almost fixed point free automorphisms, Proc. Symp. Pure Math.. Proc. Symp. Pure Math., Amer. Math. Soc., 21, 25-27 (1971) · Zbl 0247.20016
[2]	Glauberman, G., On solvable signalizer functors in finite groups, Proc. London Math. Soc., 33, 3, 1-27 (1976) · Zbl 0342.20008
[3]	Kondo, T., Automorphisms of a finite group and their fixed points, (Sci. papers Coll. Gen. Educ., 23 (1973), Univ. Tokyo), 5-9 · Zbl 0285.20029
[4]	Martineau, R. P., Solubility of groups admitting a fixed point free automorphism group of type (p,p), Math. Z., 124, 67-72 (1972) · Zbl 0213.30601
[5]	Rickman, B., Groups admitting an automorphism of prime order fixing a cyclic subgroup of prime power order, Quart. J. Math., 26, 47-59 (1975) · Zbl 0301.20015
[6]	Rowley, C. A., Ph.D. thesis (1974), Oxford
[7]	Thompson, J. G., Automorphisms of solvable groups, J. Algebra, 1, 259-267 (1964) · Zbl 0123.02602
[8]	Ward, J. N., Automorphisms of finite groups and their fixed point groups, J. Austral. Math. Soc., 9, 467-477 (1969) · Zbl 0182.03901

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