Subgroup embedding and subgroup lattices
How subgroups sit inside a group: subnormal, permutable, propermutable, pronormal, polynormal and paranormal subgroups, maximal subgroups and their conjugates, intersections of conjugates of nilpotent subgroups and injectors with the Fitting subgroup, centralizer lattices and complemented subgroup lattices.
- Block lattices of groups
- Conjugacy of maximal subgroups
- Fully invariant subgroups
- Groups isomorphic to their normal subgroups
- Groups with complemented subgroup lattices
- Groups with few maximal subgroups
- Intersections of conjugate nilpotent subgroups
- Lattices of centralizers
- Maximal soluble subgroups
- Permutable subgroups of alternating groups
- Polynormal and paranormal subgroups
- Pronormal subgroups
- Propermutable subgroups
- Subgroup lattices of Chernikov groups
- Subgroups permuting with their conjugates
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