SEMINAR: Groups and Combinatorics Seminar: Triple factorisations: geometric approach
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Groups and Combinatorics Seminar: Triple factorisations: geometric approach |
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Groups and Combinatorics Seminar
Hassan Alavi (UWA)
will speak on
Triple factorisations: geometric approach
at 1pm Tuesday 3rd of August in MLR2
Abstract:
Triple factorisations G = ABA, for proper subgroups A and B of a group G, are fundamental in the study of Lie type groups, as well as in geometry. They correspond to flag-transitive collinearly connected point-line geometries (in which each pair of points lies on at least one line). Geometries satisfying the dual condition -where each pair of lines meets in at least one point- are called concurrently connected. In this talk, we consider a generalisation of point-line projective geometries called (m,k,j)-projective spaces and determine when they are collinearly and/or concurrently connected. These geometrical results arose from studying triple factorisations of general linear groups G with the subgroups A and B parabolic.
All welcome.
Speaker(s) |
Hassan Alavi
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Location |
Maths Lecture Room 2
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Contact |
Michael Giudici
<[email protected]>
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Start |
Tue, 03 Aug 2010 13:00
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End |
Tue, 03 Aug 2010 13:45
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Submitted by |
Michael Giudici <[email protected]>
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Last Updated |
Thu, 29 Jul 2010 09:54
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