Tomasz Popiel

activity

20122023

most citedAn exotic presentation of Q_28

10 citations · 39 across the 18 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.GR2023

Indeed, the Monster has no almost simple maximal subgroup with socle $PSL_{2} (16)$

Heiko Dietrich, Melissa Lee, Tomasz Popiel

The classification of the maximal subgroups of the Monster $M$ is believed to be complete subject to an unpublished result of Holmes and Wilson asserting that $M$ …

math.GR2023

Recognisability of the sporadic groups by the isomorphism types of their prime graphs

Melissa Lee, Tomasz Popiel

The prime graph of a finite group $G$ is the labelled graph $Γ (G)$ with vertices the prime divisors of $∣ G ∣$ and edges the pairs ${p, q}$ for which $G$ contains an element of orde…

math.GR2023★ 9 cited

The maximal subgroups of the Monster

Heiko Dietrich, Melissa Lee, Tomasz Popiel

The classification of the maximal subgroups of the Monster $M$ is a long-standing problem in finite group theory. According to the literature, the classification is comple…

Indeed, the Monster has no almost simple maximal subgroup with socle PSL2​(16)

Recognisability of the sporadic groups by the isomorphism types of their prime graphs

The maximal subgroups of the Monster

Indeed, the Monster has no almost simple maximal subgroup with socle $PSL_{2} (16)$