Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/wiley/primitive-groups-with-no-regular-orbits-on-the-set-of-subsets-p3QT7o016r
References (15)
-
(1992)
et al., GAP: groups, algorithms, and programming -
R. Wilson, J. Conway, S. Norton (1985)
ATLAS of Finite Groups -
D. Gluck (1983)
Trivial Set-Stabilizers in Finite Permutation GroupsCanadian Journal of Mathematics, 35
-
(1947)
Theory of games and economic behaiour (Princeton -
M. Liebeck, J. Saxl (1987)
On the Orders of Maximal Subgroups of the Finite Exceptional Groups of Lie TypeProceedings of The London Mathematical Society
-
M. Liebeck, J. Saxl (1991)
Minimal Degrees of Primitive Permutation Groups, with an Application to Monodromy Groups of Covers of Riemann SurfacesProceedings of The London Mathematical Society
-
D. Gluck, Á. Seress, A. Shalev (1998)
Bases for Primitive Permutation Groups and a Conjecture of BabaiJournal of Algebra, 199
-
D. Livingstone, A. Wagner (1965)
Transitivity of finite permutation groups on unordered setsMathematische Zeitschrift, 90
-
M. Liebeck, C. Praeger, J. Saxl (1988)
On the O'Nan-Scott theorem for finite primitive permutation groupsJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 44
-
B. Cooperstein (1978)
Minimal degree for a permutation representation of a classical groupIsrael Journal of Mathematics, 30
-
(1992)
GAP : groups, algorithms, and programming -
D. Gluck, K. Magaard (1998)
Base Sizes and Regular Orbits for Coprime Affine Permutation GroupsJournal of the London Mathematical Society, 58
-
C. Praeger, J. Saxl (1980)
On the orders of Primitive Permutation GroupsBulletin of The London Mathematical Society, 12
-
P. Cameron, P. Neumann, J. Saxl (1984)
On groups with no regular orbits on the set of subsetsArchiv der Mathematik, 43
-
(1980)
Representations in characteristic p
- Publisher
- Wiley
- Copyright
- © London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/S0024609397003536
- Publisher site
- See Article on Publisher Site
Abstract
We determine all primitive groups which do not have a regular orbit on the power set of the permutation domain. As a corollary, we also determine all families of orbit equivalent primitive permutation groups. 1991 Mathematics Subject Classification 20B15.
Journal
Bulletin of the London Mathematical Society – Wiley
Published: Nov 1, 1997