Anthony Pisani

activity

20242026

collaborators

4 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.GR2025

The Saxl hypergraph of a permutation group

Melissa Lee, Anthony Pisani

Given a permutation group $G \leq Sym (I^c ◯)$ , a subset $B$ of $I^c ◯$ is said to be a base if its pointwise stabiliser in $G$ is trivial, and the base size $b (G)$ is the minimum…

math.GR2025

Computing the Character Table of a 2-local Maximal Subgroup of the Monster

Anthony Pisani

We employ the recently developed hybrid and mmgroup computational models for groups to calculate the character table of $N(\rm{2B}^5) \cong 2^{5+10+20}.( \rm{S}_3 \times \rm{L}_5 {…

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 $M$ , the Monster. The aim of this work is to present an mmgro…