Subring of a Lie ring that is maximal as a subgroup

From Groupprops
Jump to: navigation, search
This article describes a Lie subring property: a property that can be evaluated for a subring of a Lie ring
View a complete list of such properties
VIEW RELATED: Lie subring property implications | Lie subring property non-implications | Lie subring metaproperty satisfactions | Lie subring metaproperty dissatisfactions | Lie subring property satisfactions |Lie subring property dissatisfactions

Definition

Let L be a Lie ring and S be a subring of L. We say that S is maximal as a subgroup if the additive group of S is a maximal subgroup of the additive group of L.

Relation with other properties

Weaker properties