Vol. 15, No. 1, 2017
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An alternative existence proof of the geometry of Ivanov-Shpectorov for O'Nan's sporadic group

Francis Buekenhout and Thomas Connor
Vol. 15 (2017), No. 1, 73–121
DOI: 10.2140/iig.2017.15.73
Abstract

We provide an existence proof of the Ivanov–Shpectorov rank 5 diagram geometry together with its boolean lattice of parabolic subgroups and establish the structure of hyperlines.

Keywords
incidence geometry, diagram geometry, Buekenhout diagrams, O'Nan's sporadic group
Milestones
Received: 25 November 2014
Accepted: 16 December 2016
Authors
Francis Buekenhout
Thomas Connor