20E34 3 finite central dimension FC-hypercentral 2 Primary 20H25; Secondary 20F29 2 augmentation dimension 2 finite dimensional orbit 2 finite orbit 2 irreducible group 2 maximal condition 2 minimal condition 2 quasi-irreducible group 2 20F16; Secondary 20E25 1 20F22 1 20F50 1 Primary 20E15 1 dense family of subgroups 1 infinite dimensional linear group 1 infinite group 1 linear group 1 locally soluble group 1