Dear Felix, Dear GAP-Forum, You can use the function PartialLinearSpaces in the GRAPE package to construct and classify the partial geometries with given (pseudo-geometric) point graph. In particular, PartialLinearSpaces( ptgraph, s, t ) returns a list of representatives of the distinct isomorphism classes of partial linear spaces with point graph ptgraph, and parameters (s,t). More information and more options for this function, as well as examples, can be found in the GRAPE documentation. Please note that the problem handled by the function PartialLinearSpaces can be extremely difficult, and a given computation may not finish in any reasonable time!
You may also be interested in my paper: L.H. Soicher, Is there a McLaughlin geometry?, J. Algebra 300 (2006), 248-255. Hope this is helpful, Leonard ________________________________________ From: forum-boun...@gap-system.org <forum-boun...@gap-system.org> on behalf of Jan De Beule <jdebe...@cage.ugent.be> Sent: 16 January 2015 09:03 To: Felix Goldberg Cc: fo...@gap-system.org Subject: Re: [GAP Forum] How to create partial geometries in GAP? Dear Felix, This depends very much on how you want to represent the partial geometry you are interested in. There has been work done on partial geometries using the packages GRAPE and DESIGN. You might also be interested in models of partial geometries that are constructed in projective spaces. Therefore the package fining could be useful: http://cage.ugent.be/fining Best regards, Jan De Beule ---------------------------------------------------------------------------- Jan De Beule jdebe...@cage.ugent.be Postdoctoraal onderzoeker FWO Vakgroep Wiskunde Krijgslaan 281, S22 B 9000 Gent (Belgium) http://cage.ugent.be/~jdebeule ---------------------------------------------------------------------------- Op 16-jan.-2015, om 00:55 heeft Felix Goldberg <felix.goldb...@gmail.com> het volgende geschreven: > Hello, > > I would like to work with partial geometries. What is the easiest way to > construct some of them in GAP? Apologies for the extra-noobish question. > > Felix > > -- > ---------------------------------- > Felix Goldberg, Ph. D. > www.technion.ac.il/~felixg <http://www.technion.ac.il/%7Efelixg> > _______________________________________________ > 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 _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
