[GAP Forum] "Cannot extend workspace" on alternative presentation for S_n

Jerry Swan Jerry.Swan at nottingham.ac.uk
Wed Oct 27 17:05:49 BST 2010


Dear Forum members,
 
I'm interested in obtaining rewrite rules for the group of all pairwise transpositions of n elements, say 'Tn'. I know that in group-theoretic terms it contains a lot of redundancy - that's precisely why I want rewrite rules for it ;-)
 
Taking g := Tn( 65 ); works fine, but for n := 66, the code (attached) gives me 'cannot extend workspace' on two different machines (with maximal values for -o) running XP with 2GB and 4GB respectively. Since that this is so, might this perhaps be due to some internal limit rather than a memory isssue per se? I ask in order to avoid obtaining more memory.
 
Are there any suggestions for some alternative representation I might use (given that I'm interested in obtaining a rewriting system, it's not clear to me what my other representation options are, if any) . I'm familiar with KBMAG and MAF, but would prefer to be able to generate the group from within GAP if possible.
 
Best regards,
 
Jerry Swan.
 
 
 
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