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Minimus Heximus
Minimus Heximus
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Let $G$ and $H$ be two groups with duals. Does $G\times H$ have a dual?

A group $G$ has a dual iff the lattice of its subgroups is order-isomorphic to the dual of the subgroup lattice of some other group (or $G$ itself).

Let $G$ and $H$ be two groups with duals. Does $G\times H$ have a dual?

A group $G$ has a dual iff the lattice of its subgroups is order-isomorphic to the dual of the subgroup lattice of some other group.

Let $G$ and $H$ be two groups with duals. Does $G\times H$ have a dual?

A group $G$ has a dual iff the lattice of its subgroups is order-isomorphic to the dual of the subgroup lattice of some other group (or $G$ itself).

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Minimus Heximus
Minimus Heximus
  • 1.1k
  • 8
  • 22

Does $G\times H$ have a dual when $G$ and $H$ have?

Let $G$ and $H$ be two groups with duals. Does $G\times H$ have a dual?

A group $G$ has a dual iff the lattice of its subgroups is order-isomorphic to the dual of the subgroup lattice of some other group.