2 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
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…
Derangements in permutation groups with two orbits
Melissa Lee, Tomasz Popiel, Gabriel Verret
A classical theorem of Jordan asserts that if a group acts transitively on a finite set of size at least , then contains a derangement (a fixed-point free element). Gene…
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…
Indeed, the Monster has no almost simple maximal subgroup with socle
Heiko Dietrich, Melissa Lee, Tomasz Popiel
The classification of the maximal subgroups of the Monster is believed to be complete subject to an unpublished result of Holmes and Wilson asserting that …
Recognisability of the sporadic groups by the isomorphism types of their prime graphs
Melissa Lee, Tomasz Popiel
The prime graph of a finite group is the labelled graph with vertices the prime divisors of and edges the pairs for which contains an element of orde…