Dear Alexander Hulpke, I look the inclusions of finite groups with distributive lattice. For more details, see the MO question:
What's the ratio of inclusions of finite groups with a distributive lattice? (http://mathoverflow.net/q/178643/34538) Thanks to the GAP Data Library “Transitive Permutation Groups”, we obtain that for the inclusionof index <= 31, this ratio is more than 70%. So such inclusions are the majority! I would like to know if this majority is a "small index" phenomenon, or if it's true in general. A computation beyond of index 31 could be even more relevant. Best regards, Sebastien Palcoux Le Lundi 18 août 2014 18h33, Alexander Hulpke <hul...@math.colostate.edu> a écrit : Dear Forum, Dear Sebastien Palcoux, > The current GAP Data Library "Transitive Permutation Groups" contains the > transitive permutation groups of degree up to 30 > > Question: The next generation of this Data Library will be with degree up to > what? available when? It would help to know what degrees you are looking for. At this time I don't have any concrete plans for a ``new release'' of the data library. The transitive groups have been classified for degrees 32 by Cannon and Holt. The last time I asked they still wanted to test their data before releasing it. The total number of groups (over 2 million) also would make this a rather large database. I have lists for degrees 33,34,35 (but these are very easily done). Degree 36 seems to be borderline in that calculations take longer than our system administrator lets me keep a computer without rebooting. Best wishes, Alexander Hulpke -- Colorado State University, Department of Mathematics, Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA email: hul...@math.colostate.edu, Phone: ++1-970-4914288 http://www.math.colostate.edu/~hulpke _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
