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Journal Article

Characteristic Elements in Groups

D. MacHale
Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences
Vol. 86A, No. 1 (1986), pp. 63-65
Published by: Royal Irish Academy
Stable URL: http://www.jstor.org/stable/20489237
Page Count: 3

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Topics: Automorphisms, Mathematical theorems, Direct products, Mathematics
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Characteristic Elements in Groups
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Abstract

If G is a finite group whose automorphism group is nilpotent we show that if G is not cyclic of odd order then G contains a non-trivial element which is left fixed by every automorphism of G.

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