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Robert Boltje and Götz Pfeiffer,
An algorithm for the unit
group of the Burnside ring of a finite group.
in: Groups St Andrews 2005 Volume 1
(C. M. Campbell, M. R. Quick, E. F. Robertson and G. C. Smith, eds.), LMS Lecture Note Series 339, Cambridge University Press 2006, pp. 230-236.
Preprint IRL-GLWY-2005-001.
Abstract.
In this note we present an algorithm for the construction of the
unit group of the Burnside ring of a finite group
from a list of representatives of the conjugacy classes of subgroups
of .
A corrected and slightly extended version is available
as pdf file (154 kB). (The original version is
available as DVI file (46 kB),
as pdf file (187 kB)
and as
compressed PostScript (145 kB) file.)
The algorithm has been implemented in GAP3 and in
GAP4.