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2-groups which contain exactly 3 involutions. (English) Zbl 0238.20023


MSC:

20D15 Finite nilpotent groups, \(p\)-groups
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References:

[1] Alperin, J.: Centralizers of abelian normal subgroups. J. Algebra1, 110-113 (1964). · Zbl 0119.02901 · doi:10.1016/0021-8693(64)90027-4
[2] Blackburn, N.: Generalizations of certain elementary theorems onp-groups. Proc. London Math. Soc. (3)11, 1-22 (1961). · Zbl 0102.01903 · doi:10.1112/plms/s3-11.1.1
[3] Blackburn, N.: On a special class ofp-groups. Acta Math.100, 45-92 (1958). · Zbl 0083.24802 · doi:10.1007/BF02559602
[4] Burnside, W. Theory of groups of finite order, second edition. Cambridge 1911 (Reprinted New York: Dover Publications 1955). · JFM 42.0151.02
[5] Huppert, B.: Endliche Gruppen I. Berlin-Heidelberg-New York: Springer 1967. · Zbl 0217.07201
[6] Konvisser, M.: 2-groups of normal rank 2 for which the Frattini subgroup has rank 3. Trans. Amer. Math. Soc.165, 451-469 (1972). · Zbl 0241.20019
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