Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Group Theory
Equivalence Relations
Cosets

Formulas

a ~L b ↔ a^(-1)b ∈ H
a ~R b ↔ ab^(-1) ∈ H

Theorems

Equivalence Relations: Reflexive, Symmetric, Transitive Properties
Coset Partition Theorem

Suitable Grade Level

Undergraduate