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TWO-GROUPS IN WHICH AN AUTOMORPHISM INVERTS PRECISELY HALF THE ELEMENTS

Published online by Cambridge University Press:  01 March 1998

PETER HEGARTY  and
DESMOND MacHALE
PETER HEGARTY
Affiliation:
Department of Mathematics, University College, Cork, Ireland
DESMOND MacHALE
Affiliation:
Department of Mathematics, University College, Cork, Ireland
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Abstract

We classify all finite 2-groups G for which the maximum proportion of elements inverted by an automorphism of G is a half. These groups constitute 10 isoclinism families.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 30 , Issue 2 , March 1998 , pp. 129 - 135
Copyright
© The London Mathematical Society 1998

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