> < ^ From:

> < ^ Subject:

Dear Alexander, dear GAP-forum,

Dear Forum,

I have tried to calculate maximal subgroups of symmetric groups

using MaximalSubgroups in GAP 3.4.4.

This was successfull for all n not greater then 8, but for n=9

I obtain the following message:Error, sorry, can' t identify the group's solvable residuum in

struct.operations.RepresentativesPerfectSubgroups( struct ) called from

RepresentativesPerfectSubgroups( ShallowCopyNoSC( G ) ) called from

struct.operations.LatticeSubgroups( struct ) called from

LatticeSubgroups( G ) called from

G.operations.ConjugacyClassesMaximalSubgroups( G ) called from

...What does it mean ?

Whether function MaximalSubgroups couldn't work in this case ?

The algorithm for computing Lattice(G) in GAP3 uses information

about perfect subgroups of G. These are not available for S9 from GAP

libraries. If you add the list of them (up to conjugacy), the

conputation will be fullfiled without problems. In particular,

I can send you such a list for S9.

Best wishes, Vitaliy Mysovskikh

------------------------------------------------ Dr. Vitaliy I. Mysovskikh St.Petersburg State University Department of Mathematics and Mechanics Bibliotechnaya pl. 2, Stariy Peterhof St.Petersburg, 198904, RUSSIA E-mail: vimys@pdmi.ras.ru -------------------------------------------------

Miles-Receive-Header: reply

> < [top]