Maria Elisa Fernandes

activity

20162025

collaborators

6 papers

math.GR2025

The maximal rank of a string group generated by involutions for alternating groups

Jessica Anzanello, Maria Elisa Fernandes, Pablo Spiga

A string group generated by involutions, or SGGI, is a pair $Γ = (G, S)$ , where $G$ is a group and $S = {ρ_{0}, \dots, ρ_{r - 1}}$ is an ordered set of involutions generating $G$ and sat…

math.CO2024

Regular polytopes of rank $n /2$ for transitive groups of degree $n$

Maria Elisa Fernandes, Claudio Alexandre Piedade

Previous research established that the maximal rank of the abstract regular polytopes whose automorphism group is a transitive proper subgroup of $\mbox{S}_n$ is $n /2 + 1$ . Up to i…

math.GR2020

The Degrees Of Toroidal Regular Proper Hypermaps

Maria Elisa Fernandes, Claudio Alexandre Piedade

Recently the classification of all possible faithful transitive permutation representations of the group of symmetries of a regular toroidal map was accomplished. In this paper we…

math.GR2018

String C-group representations of alternating groups

Maria Elisa Fernandes, Dimitri Leemans

We prove that for any integer $n \geq 12$ , and for every $r$ in the interval $[3, \dots, ⌊(n - 1) /2 ⌋]$ , the group $A_{n}$ has a string C-group representation of rank $r$ t…

math.AG2018

Faithful permutation representations of toroidal regular maps

Maria Elisa Fernandes, Claudio Alexandre Piedade

In this paper we list all possible degrees of a faithful transitive permutation representation of the group of symmetries of a regular map of types ${4, 4}$ and ${3, 6}$ and we g…

math.GR2016

Highly symmetric hypertopes

Maria Elisa Fernandes, Dimitri Leemans, Asia Ivić Weiss

We study incidence geometries that are thin and residually connected. These geometries generalise abstract polytopes. In this generalised setting, guided by the ideas from the poly…

The maximal rank of a string group generated by involutions for alternating groups

Regular polytopes of rank n/2 for transitive groups of degree n

The Degrees Of Toroidal Regular Proper Hypermaps

String C-group representations of alternating groups

Faithful permutation representations of toroidal regular maps

Highly symmetric hypertopes

Regular polytopes of rank $n /2$ for transitive groups of degree $n$