A characterization of abelian groups

L. Brailovsky

doi:10.1090/S0002-9939-1993-1129873-0

A characterization of abelian groups

L. Brailovsky^*

^*Corresponding author for this work

School of Computer Science

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

10 Scopus citations

Abstract

Let G be a group and let k > 2 be an integer such that (k³ − k) < |G|/2 if G is finite. Suppose that the condition |A²| ≤ k(k + l)/2 is satisfied by every fc-element subset A ⊆ G. Then G is abelian.

Original language	English
Pages (from-to)	627-629
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	117
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1993-1129873-0
State	Published - Mar 1993

Access to Document

10.1090/S0002-9939-1993-1129873-0

Cite this

@article{11be9138e3e84fc3ae1c62e48709ddd3,

title = "A characterization of abelian groups",

abstract = "Let G be a group and let k > 2 be an integer such that (k3 − k) < |G|/2 if G is finite. Suppose that the condition |A2| ≤ k(k + l)/2 is satisfied by every fc-element subset A ⊆ G. Then G is abelian.",

author = "L. Brailovsky",

year = "1993",

month = mar,

doi = "10.1090/S0002-9939-1993-1129873-0",

language = "אנגלית",

volume = "117",

pages = "627--629",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - A characterization of abelian groups

AU - Brailovsky, L.

PY - 1993/3

Y1 - 1993/3

N2 - Let G be a group and let k > 2 be an integer such that (k3 − k) < |G|/2 if G is finite. Suppose that the condition |A2| ≤ k(k + l)/2 is satisfied by every fc-element subset A ⊆ G. Then G is abelian.

AB - Let G be a group and let k > 2 be an integer such that (k3 − k) < |G|/2 if G is finite. Suppose that the condition |A2| ≤ k(k + l)/2 is satisfied by every fc-element subset A ⊆ G. Then G is abelian.

UR - http://www.scopus.com/inward/record.url?scp=84966231203&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1993-1129873-0

DO - 10.1090/S0002-9939-1993-1129873-0

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84966231203

SN - 0002-9939

VL - 117

SP - 627

EP - 629

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -

A characterization of abelian groups

Abstract

Access to Document

Other files and links

Fingerprint

Cite this