Limits of generalized quaternion groups

Reza Hobbi; Mohammad Shahryari

doi:10.22108/ijgt.2018.112591.1499

Limits of generalized quaternion groups

Reza Hobbi, Mohammad Shahryari^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In the space of marked groups, we determine the structure of groups which are limit points of the set of all generalized quaternion groups.

Original language	English
Pages (from-to)	29-36
Number of pages	8
Journal	International Journal of Group Theory
Volume	8
Issue number	4
DOIs	https://doi.org/10.22108/ijgt.2018.112591.1499
Publication status	Published - Dec 1 2019

Keywords

Generalized quaternion groups
Gromov-Grigorchuk metric
The space of marked groups
Ultra-product
Universal theory

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.22108/ijgt.2018.112591.1499

Cite this

@article{34abe17093ca4ea58279c17329c6808e,

title = "Limits of generalized quaternion groups",

abstract = "In the space of marked groups, we determine the structure of groups which are limit points of the set of all generalized quaternion groups.",

keywords = "Generalized quaternion groups, Gromov-Grigorchuk metric, The space of marked groups, Ultra-product, Universal theory",

author = "Reza Hobbi and Mohammad Shahryari",

note = "Publisher Copyright: {\textcopyright} 2019 University of Isfahan.",

year = "2019",

month = dec,

day = "1",

doi = "10.22108/ijgt.2018.112591.1499",

language = "English",

volume = "8",

pages = "29--36",

journal = "International Journal of Group Theory",

issn = "2251-7650",

publisher = "University of Isfahan",

number = "4",

}

TY - JOUR

T1 - Limits of generalized quaternion groups

AU - Hobbi, Reza

AU - Shahryari, Mohammad

PY - 2019/12/1

Y1 - 2019/12/1

N2 - In the space of marked groups, we determine the structure of groups which are limit points of the set of all generalized quaternion groups.

AB - In the space of marked groups, we determine the structure of groups which are limit points of the set of all generalized quaternion groups.

KW - Generalized quaternion groups

KW - Gromov-Grigorchuk metric

KW - The space of marked groups

KW - Ultra-product

KW - Universal theory

UR - http://www.scopus.com/inward/record.url?scp=85065961109&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065961109&partnerID=8YFLogxK

U2 - 10.22108/ijgt.2018.112591.1499

DO - 10.22108/ijgt.2018.112591.1499

M3 - Article

AN - SCOPUS:85065961109

SN - 2251-7650

VL - 8

SP - 29

EP - 36

JO - International Journal of Group Theory

JF - International Journal of Group Theory

IS - 4

ER -

Limits of generalized quaternion groups

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this