Unsolved Problems in Group Theory. The Kourovka Notebook

Abstract

This is a collection of open problems in group theory proposed by hundreds of mathematicians from all over the world. It has been published every 2--4 years since 1965. This is the 21st edition, which contains 150 new problems and a number of comments on problems from the previous editions.

Problems with $♯$ have AI-proposed solutions that are not yet confirmed by mathematicians and should be regarded as unsolved. Anyone interested is invited to look into such an AI solution and either confirm it or refute. Comments can be sent to the editors Evgeny Khukhro [email protected] and Victor Mazurov [email protected]

Cited by in corpus (5)

• Eigenvalues of Cayley graphs
• The second closed geodesic, the fundamental group, and generic Finsler metrics
• Nilpotent subgroups of class $2$ in finite groups
• Normal covering numbers for $S_n$ and $A_n$ and additive combinatorics
• A new characterization of $E_8(p)$ via its vanishing elements