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

Authors
HEGARTY P MACHALE D
Citation
P. Hegarty et D. Machale, 2-GROUPS IN WHICH AN AUTOMORPHISM INVERTS PRECISELY HALF THE ELEMENTS, Bulletin of the London Mathematical Society, 30, 1998, pp. 129-135
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Bulletin of the London Mathematical Society → ACNP
ISSN journal
00246093
Volume
30
Year of publication
1998
Part
2
Pages
129 - 135
Database
ISI
SICI code
0024-6093(1998)30:<129:2IWAAI>2.0.ZU;2-5
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 cons titute 10 isoclinism families.