4 citations · 6 across the 4 of their papers we have counts for
6 papers
On the Open Problem in the 2023 Simon Marais Mathematics Competition
Anthony Pisani
We prove that, for not a perfect square, the only pairs of positive integers for which there exists such that an…
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…
The Saxl hypergraph of a permutation group
Melissa Lee, Anthony Pisani
Given a permutation group , a subset of is said to be a base if its pointwise stabiliser in is trivial, and the base size is the minimum s…
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 {…
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…
Conjugacy class fusion from four maximal subgroups of the Monster
Anthony Pisani, Tomasz Popiel
We determine the conjugacy class fusion from certain maximal subgroups of the Monster to the Monster, to justify the addition of these data to the Character Table Library in the co…