Abstract
The only known skew-translation generalised quadrangles (STGQ) having order (q, q), with q even, are translation generalised quadrangles. Equivalently, the only known groups G of order q3, q even, admitting an Ahrens-Szekeres (AS-)configuration are elementary abelian. In this paper we prove results in the theory of STGQ giving (i) new structural information for a group G admitting an AS-configuration, (ii) a classification of the STGQ of order (8, 8), and (iii) a classification of the STGQ of order (q, q) for odd q (using work of Ghinelli and Yoshiara).
| Original language | English |
|---|---|
| Pages (from-to) | 311-330 |
| Number of pages | 20 |
| Journal | Journal of Algebra |
| Volume | 421 |
| DOIs | |
| Publication status | Published - 2015 |
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Bamberg, J., Glasby, S., & Swartz, E. (2015). AS-configurations and skew-translation generalised quadrangles. Journal of Algebra, 421, 311-330. https://doi.org/10.1016/j.jalgebra.2014.08.031