Oihana Garaialde Ocaña

activity

20142025

collaborators

9 papers

math.GR2025

On finitely generated Hausdorff spectra of groups acting on rooted trees

Jorge Fariña-Asategui, Oihana Garaialde Ocaña, Jone Uria-Albizuri

We answer two longstanding questions of Klopsch (1999) and Shalev (2000) by proving that the finitely generated Hausdorff spectrum of the closure of a finitely generated regular br…

math.GR2022

Computing a spectral sequence of finite Heisenberg groups of prime power order

Oihana Garaialde Ocaña, Lander Guerrero Sánchez

Let $p \geq 5$ be a prime number, let $n \geq 2$ be a natural number and let $Heis (p^{n})$ denote the Heisenberg group modulo $p^{n}$ . We study the Lyndon-Hochschild-Serre spectra…

math.GR2020

Orbits classifying extensions of prime power order groups

Oihana Garaialde Ocaña, Mima Stanojkovski

The strong isomorphism classes of extensions of finite groups are parametrized by orbits of a prescribed action on the second cohomology group. We study these orbits in the case of…

math.AT2020

A family of finite p-groups satisfying Carlson's conjecture

Oihana Garaialde Ocaña, Lander Guerrero Sánchez, Jon González-Sánchez

Let p>3 be a prime number and let r be an integer with 1<r<p-1. For each r, let moreover G_r denote the unique quotient of the maximal class pro-p group of size p^{r+1}. We show th…

math.AT2018

Cohomology of finite p-groups of fixed nilpotency class

Oihana Garaialde Ocaña, Jon González-Sánchez

Let p be a prime number and let c, d be natural numbers. Then, the number of possible isomorphism types for the mod p cohomology algebra of a d-generated finite p-group of nilpoten…

math.AT2017

Cohomology of uniserial p-adic space groups with cyclic point group

Oihana Garaialde Ocaña

Let $p$ be a fixed prime number and let $R$ denote a uniserial $p$ -adic space group of dimension $d_{x} = (p - 1) p^{x - 1}$ and with cyclic point group of order $p^{x}$ . In this short note w…

math.GR2016

Cohomology of uniserial $p$ -adic space groups

Antonio Díaz Ramos, Oihana Garaialde Ocaña, Jon González-Sánchez

We prove the non-twisted case of Carlson's conjecture for any prime and we show how to proceed in the twisted case.

math.GR2014

Transporting cohomology in Lazard correspondence

Oihana Garaialde Ocaña, Jon Gonzalez-Sanchez

Lazard correspondence provides an isomorphism of categories between finitely generated nilpotent pro- $p$ groups of nilpotency class smaller than $p$ and finitely generated nilpoten…

math.AT2014

The cohomology of the sporadic group $J_{2}$ over $F_{3}$

Antonio Díaz Ramos, Oihana Garaialde Ocaña

We describe the cohomology ring $H^{*} (J_{2}; F_{3})$ both as subring of $H^{*} (3_{+}^{1 + 2}; F_{3})$ and with an abstract presentation. We also give its Poincaré series. We use…