- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:58
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
1
2007
4
Extremely primitive groups
Avinoam
Mann
The Hebrew University of Jerusalem, JERUSALEM, ISRAEL
Cheryl
Praeger
The University of Western Australia, CRAWLEY, WA, AUSTRALIA
Ákos
Seress
Ohio State University, COLUMBUS, UNITED STATES
Primitive permutation groups
A primitive permutation group is called extremely primitive if a point stabilizer acts primitively on each of its orbits. We prove that finite extremely primitive groups are of affine type or almost simple. Moreover, we determine the affine type examples up to finitely many exceptions.
Group theory and generalizations
General
623
660
10.4171/GGD/27
http://www.ems-ph.org/doi/10.4171/GGD/27