Published March 2012
| Published
Journal Article
Open
Lower signalizer lattices in alternating and symmetric groups
- Creators
- Aschbacher, Michael
Abstract
We prove that the subgroup lattices of finite alternating and symmetric groups do not contain so-called lower signalizer lattices in the class D�Δ. This result is one step in a program to show that the lattices in the class D�Δ are not isomorphic to an interval in the subgroup lattice of any finite group.
Additional Information
© 2012 de Gruyter. Received September 18, 2010; revised November 28, 2011. Published Online: 06/03/2012. Communicated by Robert M. Guralnick. This work was partially supported by NSF DMS-0504852 and NSF DMS-0969009.Attached Files
Published - Aschbacher2012p18270J_Group_Theory.pdf
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Aschbacher2012p18270J_Group_Theory.pdf
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Additional details
- Eprint ID
- 31651
- Resolver ID
- CaltechAUTHORS:20120525-104153526
- DMS-0504852
- NSF
- DMS-0969009
- NSF
- Created
-
2012-06-06Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field