AS-configurations and skew-translation generalised quadrangles

John Bamberg, Stephen Glasby, Eric Swartz

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)311-330
Number of pages20
JournalJournal of Algebra
Volume421
DOIs
Publication statusPublished - 2015

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