Maria Elisa Fernandes

activity

20142025

most citedHighest rank of a polytope for

A_{n}

31 citations · 33 across the 8 of their papers we have counts for

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10 papers · 1 filter

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.GR2023

The degrees of the orientation-preserving automorphism groups of toroidal maps and hypermaps

Maria Elisa Fernandes, Claudio Alexandre Piedade

This paper is an exploration of the faithful transitive permutation representations of the orientation-preserving automorphisms groups of highly symmetric toroidal maps and hyperma…

math.GR2023

String C-group representations of transitive Groups: a case study with degree $11$

Maria Elisa Fernandes, Claudio Alexandre Piedade, Olivia Reade

In this paper we give a non-computer-assisted proof of the following result: if $G$ is an even transitive group of degree $11$ and has a string C-group representation with rank $r\…

math.GR2023

The number of string C-groups of high rank

Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans

If $G$ is a transitive group of degree $n$ having a string C-group of rank $r \geq (n + 3) /2$ , then $G$ is necessarily the symmetric group $S_{n}$ . We prove that if $n$ is large enough,…

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.GR2016★ 31 cited

Highest rank of a polytope for $A_{n}$

Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans +1

We prove that the highest rank of a string C-group constructed from an alternating group $A l t_{n}$ is 0 if $n = 3, 4, 6, 7, 8$ ; 3 if $n = 5$ ; 4 if $n = 9$ ; 5 if $n = 10$ ; 6 if $n = 11$ ; and $\…

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…

math.GR2014★ 1 cited

Chirality in incidence geometry

Maria Elisa Fernandes, Dimitri Leemans, Asia Ivić Weiss

Guided by the ideas of chirality in the abstract polytope theory, the present paper aims to extend the concept to a more general setting of incidence geometries. The purpose of thi…

math.GR2014★ 1 cited

String C-groups as transitive subgroups of Sym(n)

Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans +1

If $Γ$ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sym(n) (other than Sym(n) and the alternating group Alt(n)), then the rank of $Γ$ is…

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

The degrees of the orientation-preserving automorphism groups of toroidal maps and hypermaps

String C-group representations of transitive Groups: a case study with degree 11

The number of string C-groups of high rank

The Degrees Of Toroidal Regular Proper Hypermaps

String C-group representations of alternating groups

Highest rank of a polytope for An​

Highly symmetric hypertopes

Chirality in incidence geometry

String C-groups as transitive subgroups of Sym(n)

String C-group representations of transitive Groups: a case study with degree $11$

Highest rank of a polytope for $A_{n}$