I. Snopce

activity

20122023

p

groups with quadratic cohomology

15 citations · 32 across the 11 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.GR2015

Asymptotic density of test elements in free groups and surface groups

Ilir Snopce, Slobodan Tanushevski

An element $g$ of a group $G$ is a test element if every endomorphism of $G$ that fixes $g$ is an automorphism. Let $G$ be a free group of finite rank, an orientable surface group…

math.GR2015

Test elements in pro- $p$ groups with applications in discrete groups

Ilir Snopce, Slobodan Tanushevski

Let $G$ be a group. An element $g \in G$ is called a test element of $G$ if for every endomorphism $φ : G \to G$ , $φ (g) = g$ implies that $φ$ is an automorphism. We prove that for a fi…

math.GR2015

Uncountably many non-commensurable finitely presented pro- $p$ groups

Ilir Snopce

Let $m \geq 3$ be a positive integer. We prove that there are uncountably many non-commensurable metabelian uniform pro- $p$ groups of dimension $m$ . Consequently, there are uncounta…

Asymptotic density of test elements in free groups and surface groups

Test elements in pro-p groups with applications in discrete groups

Uncountably many non-commensurable finitely presented pro-p groups

Test elements in pro- $p$ groups with applications in discrete groups

Uncountably many non-commensurable finitely presented pro- $p$ groups