Nadia Romero

activity

20092026

most citedThe center of a Green biset functor

8 citations · 9 across the 12 of their papers we have counts for

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math.GR2026

On the separability of some Green biset functors

Serge Bouc, Nadia Romero

We show that the Green biset functor $R_{C}$ of complex characters over $Z$ , is not separable, i.e. it is not projective as a bimodule over itself. Also, we show…

math.GR2020★ 1 cited

Shifted functors of linear representations are semisimple

Serge Bouc, Nadia Romero

We prove that, for any fields $k$ and $F$ of characteristic $0$ and any finite group $T$ , the category of modules over the shifted Green biset functor $(kR_{\mathbb{F}})_T…

math.GR2019

Deflation and tensor induction on the Frobenius-Wielandt morphism

Nadia Romero

We explore conditions for the Frobenius-Wielandt morphism to commute with the operations of deflation and tensor induction on the Burnside ring. In doing this, we review the commut…

math.GR2019★ 8 cited

The center of a Green biset functor

Serge Bouc, Nadia Romero

For a Green biset functor $A$ , we define the commutant and the center of $A$ and we study some of their properties and their relationship. This leads in particular to the main appl…

math.GR2016

The Whitehead group of (almost) extra-special p-groups with p odd

Serge Bouc, Nadia Romero

Let p be an odd prime number. We describe the Whitehead group of all extra-special and almost extra-special p-groups. For this we compute, for any finite p-group P , the subgroup C…

math.GR2015

Cyclic cellularity and active sums

Nadia Romero

Let $G$ be a group and let $F$ be a family of subgroups of $G$ closed under conjugation. For a positive integer $n$ , let $C_{n}$ denote a cyclic group of order $n$ . We show…

math.GR2015

Computing Whitehead groups using genetic bases

Nadia Romero

We combine results about Whitehead groups of finite groups with results about genetic bases of finite $p$ -groups to compute the Whitehead groups of some metacyclic $p$ -groups. Let…

math.GR2014

Finite metacyclic groups as active sums of cyclic subgroups

Alejandro Díaz-Barriga, Francisco González-Acuña, Franciso Marmolejo +1

The notion of active sum provides an analogue for groups of that of direct sum for abelian groups. One natural question then is which groups are the active sum of cyclic subgroups.…

math.GR2012

On fibred biset functors with fibres of order prime and four

Nadia Romero

This note has two purposes: First, to present a counterexample to a conjecture parametrizing the simple modules over Green biset functors, appearing in an author's previous article…