# Semantic search

1-closed transversal not implies permutably complemented, 2-Engel implies class three for groups, 2-Engel not implies class two for groups, 2-Sylow subgroup is TI implies it is normal or there is exactly one conjugacy class of involutions, 2-hypernormalized satisfies intermediate subgroup condition, 2-subnormal implies conjugate-join-closed subnormal, 2-subnormal implies conjugate-permutable, 2-subnormal implies join-transitively subnormal, 2-subnormal not implies automorph-permutable, 2-subnormal not implies hypernormalized, 2-subnormality is conjugate-join-closed, 2-subnormality is not finite-join-closed, 2-subnormality is not finite-upper join-closed, 2-subnormality is not transitive, 2-subnormality is strongly intersection-closed, 3-Engel implies locally nilpotent for groups, 3-step group implies solvable CN-group, 3-subnormal implies finite-conjugate-join-closed subnormal, 3-subnormal not implies finite-automorph-join-closed subnormal, 4-Engel implies locally nilpotent for groups