On groups admitting a noncyclic abelian automorphism group

Publisher： Cambridge University Press

E-ISSN： 1755-1633|9|3|363-366

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.9, Iss.3, 1973-12, pp. : 363-366

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Abstract

It is shown that a condition of Kurzwell concerning fixed-points of certain operators on a finite group G is sufficient to ensure that G is soluble. The result generalizes those of Martineau on elementary abelian fixed-point-free operator groups.

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