J. Aust. Math. Soc.
80 (2006), 351-358
|
Class preserving automorphisms of Blackburn groups
|
Allen Herman
Department of Mathematics and Statistics
University of Regina
Regina
Saskatchewan S4S 0A2
Canada
aherman@math.uregina.ca
|
|
|
Yuanlin Li
Department of Mathematics
Brock University
St. Catharine's
Ontario L2S 3A1
Canada
yli@brocku.ca
|
|
|
Abstract
|
In this article, a Blackburn group refers
to a finite non-Dedekind group for which the
intersection of all nonnormal subgroups is not
the trivial subgroup. By completing the
arguments of M. Hertweck, we show that all
conjugacy class preserving automorphisms of
Blackburn groups are inner automorphisms.
|
Download the article in PDF format (size 66 Kb)
|
|
|
Australian Mathematical Publishing Association Inc.
|
©
Australian MS
|
|