# Sub-weakly marginal subgroup

## Definition

A subgroup $H$ of a group $G$ is termed a sub-weakly marginal 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 weakly 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]

## Contents

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
weakly marginal subgroup
submarginal subgroup

### Weaker properties

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