# Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type VI. Suzuki and Ree groups

## TL;DR

This paper classifies finite-dimensional complex pointed Hopf algebras over Suzuki and Ree groups, showing they are only their group algebras, by analyzing conjugacy class structures and rack properties.

## Contribution

It provides a complete classification of such Hopf algebras over Suzuki and Ree groups, identifying the only possibilities as their group algebras.

## Key findings

- All finite-dimensional complex pointed Hopf algebras over these groups are their group algebras.
- Identifies which conjugacy classes are kthulhu in Suzuki and Ree groups.
- Uses rack structure analysis and abelian rack techniques.

## Abstract

We analyse the rack structure of conjugacy classes in simple Suzuki and Ree groups and determine which classes are kthulhu. Combining this results with abelian rack techniques, we show that the only finite-dimensional complex pointed Hopf algebras over the simple Suzuki and Ree groups are their group algebras.