dcernst / IBL-AbstractAlgebra

IBL course materials for an undergraduate first-semester abstract algebra course that emphasizes visualization.
http://dcernst.github.io/IBL-AbstractAlgebra/
68 stars 11 forks source link

Fun subgroup lattice exercise #164

Open dcernst opened 1 year ago

dcernst commented 1 year ago

Find subgroup lattices for $\mathbb{Z}_8\times \mathbb{Z}_2$ and $SA_8$ (SA = semiabelian; see Macualey). Smallest example of two non-isomorphic groups having "order-isomorphic" (i.e., order-preserving lattice isomorphism) subgroup lattices.