S. Tanushevski

activity

20152022

most citedFrattini-injectivity and Maximal pro-

p

Galois groups

2 citations · 2 across the 2 of their papers we have counts for

collaborators

5 papers

math.GR2022

Frattini-resistant direct products of pro- $p$ groups

Ilir Snopce, Slobodan Tanushevski

A pro- $p$ group $G$ is called strongly Frattini-resistant if the function $H \mapsto Φ (H)$ , from the poset of all closed subgroups of $G$ into itself, is a poset embedding. Frattin…

math.GR2020★ 2 cited

Frattini-injectivity and Maximal pro- $p$ Galois groups

Ilir Snopce, Slobodan Tanushevski

We call a pro- $p$ group $G$ Frattini-injective if distinct finitely generated subgroups of $G$ have distinct Frattinis. This paper is an initial effort toward a systematic study of…

math.GR2019

Retracts of free groups and a question of Bergman

Ilir Snopce, Slobodan Tanushevski, Pavel Zalesskii

Let $F_{n}$ be a free group of finite rank $n \geq 2$ . We prove that if $H$ is a subgroup of $F_{n}$ with $rk (H) = 2$ and $R$ is a retract of $F_{n}$ , then $H \cap R$ is a retract…

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…

Frattini-resistant direct products of pro-p groups

Frattini-injectivity and Maximal pro-p Galois groups

Retracts of free groups and a question of Bergman

Asymptotic density of test elements in free groups and surface groups

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

Frattini-resistant direct products of pro- $p$ groups

Frattini-injectivity and Maximal pro- $p$ Galois groups

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