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Combinatorics Seminar - Quotients of subgroup lattices of finite abelian p-groups

Marina Dombrovskaya, Department of Mathematics, Washington University in St. Louis

February 2, 2012 - 12:00 pm to 1:00 pm
Location: Cupples I, Room 199 | Host: Russ Woodroofe

Abstract: Let G be a finite abelian p-group and L(G) its lattice of subgroups. We will discuss similarities of quotients of L(G) under the actions of the group of lattice automorphisms and the group of lattice automorphisms induced by group automorphisms. Time permitting we will also discuss interesting properties of quotients of L(G) under the action of Sylow p-subgroup of Aut(G).

 

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