Abstract
Every group is the automorphism group of a rank-3 extension of a rank-3 Dowling geometry.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bennett, M. K., Bogart, K. P., and Bonin, J.: The geometry of Dowling lattices,Advances in Math. (to appear).
Bonin J.: Automorphisms of Dowling lattices and related geometries. Preprint.
Brylawski, T. H.: Modular constructions for combinatorial geometries,Trans. Amer. Math. Soc. 203 (1975), 1–44.
Dowling, T. A.: A class of geometric lattices based on finite groups,J. Combin. Theory, Ser. B 14 (1973), 61–86. Erratum, same journal,15 (1973), 211.
Frucht, R.: Herstellung von Graphen mit vorgegebener abstrakten Gruppe,Compositio Math. 6 (1938), 239–250.
Frucht, R.: Graphs of degree 3 with a given abstract group,Canad. J. Math. 1 (1949), 365–378.
Harary, F., Piff, M. J., and Welsh, D. J. A.: On the automorphism group of a matroid,Discrete Math. 2 (1972), 163–171.
Mendelsohn, E.: Every group is the collineation group of some projective plane,J. Geom. 2 (1972), 97–106.
Mendelsohn, E.: Pathological projective planes: associated affine planes,J. Geom. 4 (1974), 161–165.
Mendelsohn, E.: On the groups of automorphisms of Steiner triple and quadruple systems, in E. Mendelsohn (ed.),Proc. Conference on Algebraic Aspects of Combinatorics, Utilitas Math., Winnipeg, Manitoba, 1975, pp. 255–264.
Welsh, D. J. A.:Matroid Theory, Academic Press, London, 1976.
Author information
Authors and Affiliations
Additional information
Partially supported by The George Washington University UFF grant.
Partially supported by the National Security Agency under grant MDA904-91-H-0030.