Infinite Soluble and Nilpotent Groups |
Contents
Infinite soluble groups | 24 |
Subnormal subgroups | 65 |
Locally nilpotent and locally soluble groups | 94 |
5 other sections not shown
Common terms and phrases
abelian group additive group aɛA ascendant subgroups class of groups closure operation contains Corollary countable define denote derived length direct product elements of order finite group finite index finite length finite set finitely generated soluble finitely generated subgroup finitely presented Fitting group Fitting subgroup G is nilpotent G satisfies G₁ gɛG group G group of automorphisms group satisfying Max-n groups of type homomorphism implies induction integer isomorphic lemma Let G Let H limit ordinal linear group locally nilpotent groups locally soluble groups Mal'cev maximal metabelian metabelian group Min-n minimal normal subgroup minimax group non-trivial normal abelian subgroup p-group polycyclic groups power automorphism Proof Let Proof of theorem prove quasi-radicable residually finite S-closed series of G set of primes SI-groups soluble groups split extension subgroup of finite subgroup of G subnormal in G subnormal subgroups torsion-subgroup trivial unitriangular wreath product ZA-group