Published August 2009
| public
Journal Article
Overgroups of Primitive Groups
- Creators
- Aschbacher, Michael
Chicago
Abstract
We give a qualitative description of the set O_G(H) of overgroups in G of primitive subgroups H of finite alternating and symmetric groups G, and particularly of the maximal overgroups. We then show that certain weak restrictions on the lattice O_G(H) impose strong restrictions on H and its overgroup lattice.
Additional Information
© 2009 Australian Mathematical Publishing Association Inc. Received September 1 2007, accepted June 6 2008. This work was partially supported by grant no. NSF-0504852.Additional details
- Eprint ID
- 16403
- Resolver ID
- CaltechAUTHORS:20091020-133518121
- NSF
- DMS-0504852
- Created
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2009-10-23Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field