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SUMMARY:Classical groups\, and generating small classical subgroups - Cher
 yl Praeger (University of Western Australia)
DTSTART:20200131T134500Z
DTEND:20200131T143500Z
UID:TALK138310@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will report on on-going work with Alice Niemeyer and Stephen
  Glasby. In trying to develop for finite classical groups\, some ideas Ako
 s Seress had told us about special linear groups\, we were faced with the 
 question: <br> <br> "Given two non-degenerate subspaces U and W\, of dimen
 sions e and f respectively\, in a formed space of dimension at least e+f\,
  how likely is it that U+W is a non-degenerate subspace of dimension e+f?"
  <br> <br> Something akin to this question\, in a similar context is addre
 ssed in Section 5 of "Constructive recognition of classical groups in even
  characteristic" (J. Algebra 391 (2013)\, 227-255\, by Heiko Dietrich\, C.
 R.Leedham-Green\, Frank Lubeck\, and E. A. O&rsquo\;Brien).  We wanted exp
 licit bounds for this probability\, and then to apply it to generate small
  classical subgroups.
LOCATION:Seminar Room 1\, Newton Institute
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