Published August 2009 | public
Journal Article

Overgroups of Primitive Groups

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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

Created:
August 21, 2023
Modified:
October 19, 2023