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Martineau, R. P.

Solubility of groups admitting a fixed-point-free automorphism group of type \((p,p)\). (English) Zbl 0213.30601

Math. Z. 124, 67-72 (1972).
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Cited in 5 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
20D45 Automorphisms of abstract finite groups
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References:

[1] Gorenstein, D.: Finite groups. New York: Harper and Row 1968. · Zbl 0185.05701
[2] Martineau, R.P.: On groups admitting a fixed-point-free automorphism group. Proc. London Math. Soc. (3)22, 193-202 (1971). · Zbl 0215.10501 · doi:10.1112/plms/s3-22.2.193
[3] Thompson, J.G.: Normalp-complements for finite groups. J. Algebra1, 43-46 (1964). · Zbl 0119.26802 · doi:10.1016/0021-8693(64)90006-7
[4] Ward, J.N.: Automorphisms of finite groups and their fixed point groups. J. Austral. Math. Soc.9, 467-477 (1969). · Zbl 0182.03901 · doi:10.1017/S1446788700007424
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