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On a Geometry of Ivanov and Shpectorov for the O'Nan Sporadic Simple Group

✍ Scribed by Francis Buekenhout; Dimitri Leemans

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 298 KB
Volume: 85
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1998.2912

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✦ Synopsis

We show that, for the O'Nan sporadic simple group, there is no Rwpri and (IP) 2 geometry of rank 6 with a maximal parabolic subgroup isomorphic to M 11 and that there is no Rwpri and (IP) 2 geometry of rank 5 with a maximal parabolic subgroup isomorphic to J 1 . This last result permits us to show that the Ivanov Shpectorov geometry is not Rwpri. The results obtained in this paper rely partially on computer algebra.

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