Dear Raghunathan, dear Forum, the function 'CharacterTableWreathSymmetric' constructs the character table of the wreath product of a group G with the symmetric group on n points from the character table of G and supplies it with lists of partitions as labels for the classes (and the characters). The underlying algorithm is described in
Character Tables of Weyl Groups in GAP. Bayreuther Math. Schr. 47 (1994), 165-222. (http://schmidt.nuigalway.ie/~goetz/pub/ctweyl.html) Goetz Pfeiffer On Fri, Jan 13, 2006 at 10:18:36AM +0000, raghunathan wrote: > Respected Dr.Frank Luebeck and GAP Forum, > Thank you very much for ur valuable suggestion regarding class > structures of symmetric groups which can be correlated to numerical > partitions of the degree of the symmetric groups.But, for a wreath product > group as simple as S2[S2] whose conjugacy classes' structures as given by GAP > is as > > gap> > [ ()^G, (3,4)^G, (1,2)(3,4)^G, (1,3)(2,4)^G, (1,3,2,4)^G ] > > has two classes of permutations each with two cycles of length two (1,2)(3,4) > and (1,3)(2,4). Also, the sequential commands, > > gap>s:=SymmetricGroup(2);;w:=WreathProduct(s,s);;t:=CharacterTable(w);;ClassParameters(t); > > did not work.Is there a way to overcome this problem by relating the > abstract symbols usually displayed above any character table given by GAP as > 1a 2a 2b...etc., which in the case of S4 is as follows to the class > structures? > > 2 3 2 3 . 2 > 3 1 . . 1 . > > 1a 2a 2b 3a 4a > 2P 1a 1a 1a 3a 2b > 3P 1a 2a 2b 1a 4a > > X.1 1 -1 1 1 -1 > X.2 3 -1 -1 . 1 > X.3 2 . 2 -1 . > X.4 3 1 -1 . -1 > X.5 1 1 1 1 1 > > Thanks, > Raghunathan,R., > M.Sc.Chemistry, > Department of Chemistry, > Indian Institute of Technology Madras, > Chennai-36, > India. > > > > > > _______________________________________________ > Forum mailing list > [email protected] > http://mail.gap-system.org/mailman/listinfo/forum ------------------------------------------------------------------------- [EMAIL PROTECTED] http://schmidt.nuigalway.ie/~goetz/ National University of Ireland, Galway. phone +353-91-49-3591 _______________________________________________ Forum mailing list [email protected] http://mail.gap-system.org/mailman/listinfo/forum
