Universal equivalence of general and special linear groups over fields

E. I. Bunina; G. A. Kaleeva

Universal equivalence of general and special linear groups over fields

E. I. Bunina, G. A. Kaleeva

Department of Mathematics

Bar-Ilan University

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

Abstract

In this paper, we study universal equivalence of general and special linear groups over fields. We give the following criterion for this relation to hold: two groups G_n(K) and G_m(L) (G = GL, SL, K and L are infinite fields) are universally equivalent if and only if n = m and the fields K and L are universally equivalent.

Original language	English
Pages (from-to)	73-106
Number of pages	34
Journal	Fundamental and Applied Mathematics
Volume	21
Issue number	3
State	Published - 2016

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology
Applied Mathematics

Cite this

@article{31b75df77ccc415cb230b6df2f58b067,

title = "Universal equivalence of general and special linear groups over fields",

abstract = "In this paper, we study universal equivalence of general and special linear groups over fields. We give the following criterion for this relation to hold: two groups Gn(K) and Gm(L) (G = GL, SL, K and L are infinite fields) are universally equivalent if and only if n = m and the fields K and L are universally equivalent.",

author = "Bunina, {E. I.} and Kaleeva, {G. A.}",

year = "2016",

language = "الإنجليزيّة",

volume = "21",

pages = "73--106",

journal = "Fundamental and Applied Mathematics",

issn = "1560-5159",

publisher = "Moscow State University",

number = "3",

}

TY - JOUR

T1 - Universal equivalence of general and special linear groups over fields

AU - Bunina, E. I.

AU - Kaleeva, G. A.

PY - 2016

Y1 - 2016

N2 - In this paper, we study universal equivalence of general and special linear groups over fields. We give the following criterion for this relation to hold: two groups Gn(K) and Gm(L) (G = GL, SL, K and L are infinite fields) are universally equivalent if and only if n = m and the fields K and L are universally equivalent.

AB - In this paper, we study universal equivalence of general and special linear groups over fields. We give the following criterion for this relation to hold: two groups Gn(K) and Gm(L) (G = GL, SL, K and L are infinite fields) are universally equivalent if and only if n = m and the fields K and L are universally equivalent.

UR - http://www.scopus.com/inward/record.url?scp=85038231151&partnerID=8YFLogxK

M3 - مقالة

SN - 1560-5159

VL - 21

SP - 73

EP - 106

JO - Fundamental and Applied Mathematics

JF - Fundamental and Applied Mathematics

IS - 3

ER -

Universal equivalence of general and special linear groups over fields

Abstract

All Science Journal Classification (ASJC) codes

Other files and links

Cite this