works on
finite simple groups 1Goldschmidt amalgam 1group classification 1monster group 1sporadic groups 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.GR2026

The number of groups of cubefree order

Heiko Dietrich, David Jefferies

Generalising Hölder's classical group enumeration for squarefree orders (1895), we provide an exact formula for the number of isomorphism types of groups of a given cubefree order.…

math.GR2026

The Monster group is a completion of the Goldschmidt G3-amalgam

Heiko Dietrich

The paper proves that the Monster group serves as a completion of the Goldschmidt G3-amalgam, finalizing a classification of sporadic simple groups related to this amalgam.

math.GR2025

The maximal subgroups of the Monster

Heiko Dietrich, Melissa Lee, Tomasz Popiel

The classification of the maximal subgroups of the Monster is a long-standing problem in finite group theory. According to the literature, the classification is comple…