Aglaia Myropolska

activity

20132016

M N

of groups in which all maximal subgroups are normal

4 citations · 4 across the 3 of their papers we have counts for

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6 papers · 1 filter

math.GR2016

Expected Depth of Random Walks on Groups

Khalid bou-Rabee, Ioan Manolescu, Aglaia Myropolska

For $G$ a finitely generated group and $g \in G$ , we say $g$ is detected by a normal subgroup $N ⊲ G$ if $g \in / N$ . The depth $D_{G} (g)$ of $g$ is the lowest index of a normal,…

math.GR2015

Groups with near exponential residual finiteness growth

Khalid Bou-Rabee, Aglaia Myropolska

A function $N \to N$ is near exponential if it is bounded above and below by functions of the form $2^{n^{c}}$ for some $c > 0$ . In this article we develop tools to…

math.GR2015★ 4 cited

The class $M N$ of groups in which all maximal subgroups are normal

Aglaia Myropolska

We investigate the class $M N$ of groups with the property that all maximal subgroups are normal. The class $M N$ appeared in the framework of the study of potent…

math.GR2014

Nielsen equivalence in Gupta-Sidki groups

Aglaia Myropolska

For a group $G$ generated by $k$ elements, the Nielsen equivalence classes are defined as orbits of the action of $Aut F_{k}$ , the automorphism group of the free group…

math.GR2013

On transitivity and (non)amenability of Aut(F_n) actions on group presentations

Aglaia Myropolska, Tatiana Nagnibeda

For a finitely generated group $G$ the Nielsen graph $N_{n} (G)$ , $n \geq rank (G)$ , describes the action of the group $Aut F_{n}$ of automorphisms of the fre…

math.GR2013

Andrews-Curtis and Nielsen equivalence relations on some infinite groups

Aglaia Myropolska

The Andrews-Curtis conjecture asserts that, for a free group $F_{n}$ of rank $n$ and a free basis $(x_{1}, ..., x_{n})$ , any normally generating tuple $(y_{1}, ..., y_{n})$ is Andrews-Curtis equ…

Expected Depth of Random Walks on Groups

Groups with near exponential residual finiteness growth

The class MN of groups in which all maximal subgroups are normal

Nielsen equivalence in Gupta-Sidki groups

On transitivity and (non)amenability of Aut(F_n) actions on group presentations

Andrews-Curtis and Nielsen equivalence relations on some infinite groups

The class $M N$ of groups in which all maximal subgroups are normal