×

Eine Verallgemeinerung von fixpunktfreien Automorphismen endlicher Gruppen. (German) Zbl 0218.20022


MSC:

20D45 Automorphisms of abstract finite groups
Full Text: DOI

References:

[1] R. Baer, Engelsche Elemente noetherscher Gruppen. Math. Ann.133, 256-270 (1957). · Zbl 0078.01501 · doi:10.1007/BF02547953
[2] T. R. Beeger, Class twop-groups as fixed point free automorphism groups. Illinois J. Math.14, 121-148 (1970).
[3] E. C. Dade, Cartersubgroups and fitting heights of finite solvable groups. Illinois J. Math.13, 449-513 (1969). · Zbl 0195.04003
[4] W.Feit, Characters of Finite Groups. New York 1967. · Zbl 0166.29002
[5] D.Gorenstein, Finite Groups. New York 1968.
[6] F. Gross, Solvable groups admitting a fixed point free automorphism of prime power order. Proc. Amer. Math. Soc.17, 1440-1446 (1966). · Zbl 0147.27201 · doi:10.1090/S0002-9939-1966-0207836-0
[7] F. Gross, Groups admitting a fixed point free automorphism of order 2 n . Pacific J. Math.24, 269-275 (1969). · Zbl 0157.05702
[8] D. R. Hughes andJ. G. Thompson, The Hp-problem and the structure ofH p-Groups. Pacific J. Math.9, 1097-1102 (1959). · Zbl 0098.25201
[9] B.Huppert, Endliche Gruppen I. Berlin 1967. · Zbl 0217.07201
[10] O. H. Kegel, Die Nilpotenz derH p-Gruppen. Math. Z.75, 373-376 (1961). · Zbl 0104.24904 · doi:10.1007/BF01211033
[11] E. Shult, On groups admitting fixed point free abelian operator groups. Illinois J. Math.9, 701-720 (1965). · Zbl 0136.28504
[12] J. G. Thompson, Finite groups with fixed point free automorphisms of prime order. Proc. Nat. Acad. Sci. U.S.A.45, 578-581 (1959). · Zbl 0086.25101 · doi:10.1073/pnas.45.4.578
[13] J. G. Thompson, Normalp-Complements for finite groups. J. Algebra1, 43-46 (1964). · Zbl 0119.26802 · doi:10.1016/0021-8693(64)90006-7
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.