[GAP Forum] M24, M12

[Leonard Soicher]

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-bounces at gap-system.org <forum-bounces at gap-system.org> on behalf of PAUL <phjelmstad at msn.com>
Sent: 20 January 2015 01:07
To: forum at 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
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