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Factorizations of simple algebraic groups
Author(s):
Martin
W.
Liebeck;
Jan
Saxl;
Gary
M.
Seitz
Journal:
Trans. Amer. Math. Soc.
348
(1996),
799-822.
MSC (1991):
Primary 20G15
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Abstract:
We determine all factorizations of simple algebraic groups as the product of two maximal closed connected subgroups. Additional results are established which drop the maximality assumption, and applications are given to the study of subgroups of classical groups transitive on subspaces of a given dimension.
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Additional Information:
Martin
W.
Liebeck
Affiliation:
Department of Mathematics, Imperial College, London SW7 2BZ, England
Email:
m.liebeck@ic.ac.uk
Jan
Saxl
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB, England
Email:
j.saxl@pmms.cam.ac.uk
Gary
M.
Seitz
Affiliation:
Department of Mathematics, University of Oregon, Eugene, Oregon 97403
Email:
seitz@bright.uoregon.edu
DOI:
10.1090/S0002-9947-96-01447-X
PII:
S 0002-9947(96)01447-X
Received by editor(s):
May 3, 1994
Received by editor(s) in revised form:
January 30, 1995
Copyright of article:
Copyright
1996,
American Mathematical Society
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