Lie-Algebren mit SI-Bedingungen.
Linear preserver problems and algebraic groups.
Localization and Cohomology of Nilpotent Groups.
Localization and cohomology of nilpotent groups
Locally finite groups with all subgroups either subnormal or nilpotent-by-Chernikov
Let G be a locally finite group satisfying the condition given in the title and suppose that G is not nilpotent-by-Chernikov. It is shown that G has a section S that is not nilpotent-by-Chernikov, where S is either a p-group or a semi-direct product of the additive group A of a locally finite field F by a subgroup K of the multiplicative group of F, where K acts by multiplication on A and generates F as a ring. Non-(nilpotent-by-Chernikov) extensions of this latter kind exist and are described in...
Locally graded groups with certain minimal conditions for subgroups (II).
This paper deals with one of the ways of studying infinite groups many of whose subgroups have a prescribed property, namely the consideration of minimal conditions. If P is a theoretical property of groups and subgroups, we show that a locally graded group P satisfies the minimal conditions for subgroups not having P if and only if either G is a Cernikov group or every subgroup of G satisfies P, for certain values of P concerning normality, nilpotency and related ideas.
Locally nilpotent linear groups with the weak chain conditions on subgroups of infinite central dimension .
Locally soluble-by-finite groups with small deviation for non-subnormal subgroups
A group has subnormal deviation at most if, for every descending chain of non-subnormal subgroups of , for all but finitely many there is no infinite descending chain of non-subnormal subgroups of that contain and are contained in . This property , say, was investigated in a previous paper by the authors, where soluble groups with and locally nilpotent groups with were effectively classified. The present article affirms a conjecture from that article by showing that locally soluble-by-finite...
Lokale Subnormalteiler und ihr nilpotentes Residuum.