# CDIN-subgroup

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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

## Definition

A subgroup of a group is termed a **CDIN-subgroup**, or is said to be **conjugacy-determined in normalizer**, if is a conjugacy-determined subgroup in its normalizer relative to .

## Relation with other properties

### Stronger properties

- SCDIN-subgroup
- Conjugacy-closed subgroup
- Sylow CDIN-subgroup
- Sylow TI-subgroup:
`For full proof, refer: Sylow and TI implies CDIN`