Emilio Pierro

activity

20142020

most citedOn the smallest non-trivial quotients of mapping class groups

4 citations · 13 across the 9 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.GR2020

Point-primitive generalised hexagons and octagons and projective linear groups

S. P. Glasby, E. Pierro, Cheryl E. Praeger

We discuss recent progress on the problem of classifying point-primitive generalised polygons. In the case of generalised hexagons and generalised octagons, this has reduced the pr…

math.CO2020

The order complex of $P G L_{2} (p^{2^{n}})$ is contractible when $p$ is odd

Emilio Pierro

Given a group $G$ , its lattice of subgroups $L (G)$ can be viewed as a simplicial complex in a natural way. The inclusion of $1_{G}, G \in L (G)$ implies that $\mat…

math.GR2020

Hurwitz Generation in Groups of Types $F_{4}$ , $E_{6}$ , $^{2} E_{6}$ , $E_{7}$ and $E_{8}$

Emilio Pierro

A Hurwitz generating triple for a group $G$ is an ordered triple of elements $(x, y, z) \in G^{3}$ where $x^{2} = y^{3} = z^{7} = x y z = 1$ and $⟨ x, y, z ⟩ = G$ . For the finite quasisimple…

Point-primitive generalised hexagons and octagons and projective linear groups

The order complex of PGL2​(p2n) is contractible when p is odd

Hurwitz Generation in Groups of Types F4​, E6​, 2E6​, E7​ and E8​

The order complex of $P G L_{2} (p^{2^{n}})$ is contractible when $p$ is odd

Hurwitz Generation in Groups of Types $F_{4}$ , $E_{6}$ , $^{2} E_{6}$ , $E_{7}$ and $E_{8}$