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Two-Groups in Which an Automorphism Inverts Precisely Half the Elements

Two-Groups in Which an Automorphism Inverts Precisely Half the Elements 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. 1991 Mathematics Subject Classification 20B05. © London Mathematical Society http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Oxford University Press

Two-Groups in Which an Automorphism Inverts Precisely Half the Elements

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References (5)

Publisher
Oxford University Press
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609397004025
Publisher site
See Article on Publisher Site

Abstract

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. 1991 Mathematics Subject Classification 20B05. © London Mathematical Society

Journal

Bulletin of the London Mathematical SocietyOxford University Press

Published: Mar 1, 1998

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