Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups |
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| Authors: | Michael Aschbacher John Shareshian |
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| Institution: | aDepartment of Mathematics, California Institute of Technology, Pasadena, CA 91125, United States;bDepartment of Mathematics, Washington University, St. Louis, MO 63130, United States |
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| Abstract: | Let G be a finite alternating or symmetric group. We describe an infinite class of finite lattices, none of which is isomorphic to any interval H,G] in the subgroup lattice of G. |
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| Keywords: | Subgroup lattice Symmetric group Alternating group |
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