3 papers
math.GR2026
Finding 59:29 in the Monster
Heiko Dietrich, Melissa Lee, Anthony Pisani +1
The classification of the maximal subgroups of the Monster group has been completed recently, and explicit generators for each such subgroup (up to conjugacy) have been made availa…
math.GR2026
On the trivial units property and the unique product property
Heiko Dietrich, Melissa Lee, Andre Nies +1
We report on some computational experiments related to the trivial units property and unique product property for group rings of torsion-free groups. These properties are related t…
math.GR2024
Explicit construction of the maximal subgroups of the Monster
Heiko Dietrich, Melissa Lee, Anthony Pisani +1
Seysen's Python package mmgroup provides functionality for fast computations within the sporadic simple group , the Monster. The aim of this work is to present an mmgro…