Standard

On the geometry of free nilpotent groups. / Magdiev, Ruslan; Semidetnov, Artem.

2021.

Результаты исследований: Рабочие материалы › рабочие материалы

Harvard

Magdiev, R & Semidetnov, A 2021 'On the geometry of free nilpotent groups'.

APA

Magdiev, R., & Semidetnov, A. (2021). On the geometry of free nilpotent groups.

Vancouver

Magdiev R, Semidetnov A. On the geometry of free nilpotent groups. 2021 Май 31.

Author

Magdiev, Ruslan ; Semidetnov, Artem. / On the geometry of free nilpotent groups. 2021.

BibTeX

@techreport{9470bd58b59f4866a4c983147aaec44a,
title = "On the geometry of free nilpotent groups",
abstract = " In this article, we study geometric properties of nilpotent groups. We find a geometric criterion for the word problem for the finitely generated free nilpotent groups. By geometric criterion, we mean a way to determine whether two words represent the same element in a free nilpotent group of rank $r$ and class $k$ by analyzing their behavior on the Cayley graph of the free nilpotent group of rank $r$ and class $k-1$. ",
keywords = "math.GR",
author = "Ruslan Magdiev and Artem Semidetnov",
year = "2021",
month = may,
day = "31",
language = "не определен",
type = "WorkingPaper",

}

RIS

TY - UNPB

T1 - On the geometry of free nilpotent groups

AU - Magdiev, Ruslan

AU - Semidetnov, Artem

PY - 2021/5/31

Y1 - 2021/5/31

N2 - In this article, we study geometric properties of nilpotent groups. We find a geometric criterion for the word problem for the finitely generated free nilpotent groups. By geometric criterion, we mean a way to determine whether two words represent the same element in a free nilpotent group of rank $r$ and class $k$ by analyzing their behavior on the Cayley graph of the free nilpotent group of rank $r$ and class $k-1$.

AB - In this article, we study geometric properties of nilpotent groups. We find a geometric criterion for the word problem for the finitely generated free nilpotent groups. By geometric criterion, we mean a way to determine whether two words represent the same element in a free nilpotent group of rank $r$ and class $k$ by analyzing their behavior on the Cayley graph of the free nilpotent group of rank $r$ and class $k-1$.

KW - math.GR

UR - http://arxiv.org/abs/2106.00095

M3 - рабочие материалы

BT - On the geometry of free nilpotent groups

ER -

ID: 78335307