Dear PGH, Dear GAP Forum, The Steiner systems S(5,6,12), S(5,8,24) and related block designs can be produced by the DESIGN package for GAP, using its function WittDesign, which is described in the DESIGN package documentation. In particular, WittDesign(24) returns the unique (up to isomorphism) Steiner system S(5,8,24) (also called a 5-(24,8,1) design). The function does not, however, construct this design from a Steiner system S(5,6,12).
Hope this is helpful, Leonard ________________________________________ From: forum-boun...@gap-system.org <forum-boun...@gap-system.org> on behalf of PAUL <phjelms...@msn.com> Sent: 20 January 2015 01:07 To: fo...@gap-system.org Subject: [GAP Forum] M24, M12 Is there an easy way to generate a Steiner system S(5,8,24) for the Mathieu Group M24, if a Steiner system S(5,6,12) for the Mathieu Group is known? PGH _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
