3 papers
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…
math.GR2024
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 ord…
cs.DS2024
Showcasing straight-line programs with memory via matrix Bruhat decomposition
Alice C. Niemeyer, Tomasz Popiel, Cheryl E. Praeger +1
We suggest that straight-line programs designed for algebraic computations should be accompanied by a comprehensive complexity analysis that takes into account both the number of f…