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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 G from a list of representatives of the conjugacy classes of subgroups of G.

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.

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