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Thomas Zaslavsky

Automorphism Groups of Dowling Lattices

Abstract for the Combinatorics and Number Theory and Algebra Seminars 2001 January 23

A Dowling lattice, Qn(G), of a group G is a thin, graph-theoretic geometrical system which is analogous to a projective geometry over a field in that both are highly symmetrical ``universal'' geometries. Thus the automorphism groups of Dowling lattices are bound to be of some interest. I will discuss and, I hope, expound a paper that shows that the automorphism group of Qn(G) has no semidirect product decomposition except what it inherits from G.

seminars/comb/abstract.20010123.txt · Last modified: 2020/01/29 14:03 (external edit)