J. Austral. Math. Soc.
72 (2002), 173-179
|
Nilpotent groups are not dualizable
|
R. Quackenbush
Department of Mathematics
University of Manitoba
Winnipeg
Manitoba R3T 2N2
Canada
qbush@ccu.umanitoba.ca
|
|
and
|
Cs. Szabó
Department of Algebra and Number Theory
ELTE
Budapest
Hungary
csaba@cs.elte.hu
|
|
|
Abstract
|
It is shown that no finite group containing a
non-abelian nilpotent subgroup is dualizable.
This is in contrast to the known result that
every finite abelian group is dualizable (as part
of the Pontryagin duality for all abelian groups)
and to the result of the authors in a companion
article that every finite group with cyclic Sylow
subgroups is dualizable.
|
Download the article in PDF format (size 70 Kb)
|
|
|
|