Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-25T07:10:48.507Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Automorphism Groups of Dowling Geometries

Published online by Cambridge University Press:  10 July 2002

GARY K. SCHWARTZ
GARY K. SCHWARTZ
Affiliation:
University of Oklahoma, Norman, OK 73019–0315, USA (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

In ‘Automorphisms of Dowling lattices and related geometries’, J. Bonin constructed the automorphism group A of a Dowling lattice as the image of a certain semidirect product, A = θ(K [rtimes ] H). In this work we find necessary and sufficient conditions for this quotient to be the semidirect product A = θ(K) [rtimes ] θ(H). In addition, we include a construction of A that lends itself to computation more readily than that found in Bonin's work.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 11 , Issue 3 , May 2002 , pp. 311 - 321
Copyright
2002 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)