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 2021Show all

3 papers · 1 filter

math.GR2021

Saxl graphs of primitive affine groups with sporadic point stabilisers

Melissa Lee, Tomasz Popiel

Let $G$ be a permutation group on a set $Ω$ . A base for $G$ is a subset of $Ω$ whose pointwise stabiliser is trivial, and the base size of $G$ is the minimal cardinality of a base.…

math.GR2021

$M$ , $B$ and $Co_{1}$ are recognisable by their prime graphs

Melissa Lee, Tomasz Popiel

The prime graph, or Gruenberg--Kegel graph, of a finite group $G$ is the graph $Γ (G)$ whose vertices are the prime divisors of $∣ G ∣$ , and whose edges are the pairs ${p, q}$ for wh…

math.CO2021

Solids in the space of the Veronese surface in even characteristic

Nour Alnajjarine, Michel Lavrauw, Tomasz Popiel

We classify the orbits of solids in the projective space $PG (5, q)$ , $q$ even, under the setwise stabiliser $K ≅ PGL (3, q)$ of the Veronese surface. For each orbit,…

Saxl graphs of primitive affine groups with sporadic point stabilisers

M, B and Co1​ are recognisable by their prime graphs

Solids in the space of the Veronese surface in even characteristic

$M$ , $B$ and $Co_{1}$ are recognisable by their prime graphs