Problems in group theory motivated by cryptography

TL;DR

This survey reviews various algorithmic problems in group theory, both classical and recent, highlighting their relevance and challenges in cryptographic applications.

Contribution

It provides a comprehensive overview of group-theoretic problems motivated by cryptography, including recent developments and open questions.

Findings

Identification of key group-theoretic problems in cryptography

Discussion of algorithmic complexity and security implications

Summary of recent advances and open research directions

Abstract

This is a survey of algorithmic problems in group theory, old and new, motivated by applications to cryptography.