Citation
Pp. Palfy et L. Pyber, SMALL-GROUPS OF AUTOMORPHISMS, Bulletin of the London Mathematical Society, 30, 1998, pp. 386-390
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
00246093
Volume
30
Year of publication
1998
Part
4
Pages
386 - 390
Database
ISI
SICI code
0024-6093(1998)30:<386:>2.0.ZU;2-M
Abstract
Let A be a group of automorphisms of the finite group G such that (\A\
, \G\) = 1. Then \A\ < \G\(2), and the exponent 2 here is best possibl
e. If, moreover, A is nilpotent of class at most 2, then \A\ < \G\. If
A is abelian, then A has a regular orbit on G.