On the burnside problem on periodic groups

Sergei V. Ivanov

doi:10.1090/S0273-0979-1992-00305-1

On the burnside problem on periodic groups

Research output: Contribution to journal › Comment/debate › peer-review

Abstract

It is proved that the free m-generated Burnside groups (Equation present) of exponent n are infinite provided that m > 1, n ≥ 2⁴⁸.

Original language	English (US)
Pages (from-to)	257-260
Number of pages	4
Journal	Bulletin of the American Mathematical Society
Volume	27
Issue number	2
DOIs	https://doi.org/10.1090/S0273-0979-1992-00305-1
State	Published - Oct 1992
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Online availability

10.1090/S0273-0979-1992-00305-1

Library availability

Discover UIUC Full Text

Cite this

@article{57ec093d30704e82967e27e1bd0c6f3d,

title = "On the burnside problem on periodic groups",

abstract = "It is proved that the free m-generated Burnside groups (Equation present) of exponent n are infinite provided that m > 1, n ≥ 248.",

author = "Ivanov, {Sergei V.}",

year = "1992",

month = oct,

doi = "10.1090/S0273-0979-1992-00305-1",

language = "English (US)",

volume = "27",

pages = "257--260",

journal = "Bulletin of the American Mathematical Society",

issn = "0273-0979",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - On the burnside problem on periodic groups

AU - Ivanov, Sergei V.

PY - 1992/10

Y1 - 1992/10

N2 - It is proved that the free m-generated Burnside groups (Equation present) of exponent n are infinite provided that m > 1, n ≥ 248.

AB - It is proved that the free m-generated Burnside groups (Equation present) of exponent n are infinite provided that m > 1, n ≥ 248.

UR - http://www.scopus.com/inward/record.url?scp=84967758545&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84967758545&partnerID=8YFLogxK

U2 - 10.1090/S0273-0979-1992-00305-1

DO - 10.1090/S0273-0979-1992-00305-1

M3 - Comment/debate

AN - SCOPUS:84967758545

SN - 0273-0979

VL - 27

SP - 257

EP - 260

JO - Bulletin of the American Mathematical Society

JF - Bulletin of the American Mathematical Society

IS - 2

ER -

On the burnside problem on periodic groups

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this