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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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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
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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