Submarginal subgroup

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Definition

A subgroup H of a group G is termed a submarginal subgroup if there exists an ascending chain:

H = H_0 \le H_1 \le \dots \le H_n = G

such that each H_i is a marginal subgroup of H_{i+1}.

This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
marginal subgroup

Weaker properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
sub-weakly marginal subgroup
finite direct power-closed characteristic subgroup
characteristic subgroup