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Finite groups in which the centralizer of any non-identity element is nilpotent. (English) Zbl 0103.01402


Keywords:

group theory
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References:

[1] Burnside, W.: Theory of Groups of Finite Order, 2nd edition. Cambridge 1911. · JFM 42.0151.02
[2] Hall, M.: The Theory of Groups. The Macmillan Co. New York: 1959.
[3] Hall, P., andG. Higman: On thep-length ofp-soluble groups and reduction theorems for Burnside’s problem. Proc. London math. Soc. (3)6, 1-42 (1956). · Zbl 0073.25503
[4] Hall, P.: A note on soluble groups. J. London math. Soc.3, 98-105 (1928). · JFM 54.0145.01
[5] Higman, G.: Finite groups in which every element has prime power order. J. London math. Soc.32, 335-342 (1957). · Zbl 0079.03204
[6] Suzuki, M.: The nonexistence of a certain type of simple groups of odd order. Proc. Amer. math. Soc.8, 686-695 (1957). · Zbl 0079.03104
[7] Wielandt, H.: Zum Satz vonSylow. Math. Z.60, 407-408 (1954). · Zbl 0056.25601
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