A classification of groups with a centralizer condition II

Zvi Arad; Marcel Herzog

doi:10.1017/S0004972700022991

A classification of groups with a centralizer condition II

Zvi Arad
, Marcel Herzog

Department of Mathematics

Australian National University

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

5 Scopus citations

Abstract

Let G be a finite group. A nontrivial proper subgroup M of G is called a CC-subgpoup if M contains the centralizer in G of each of its nonidentity elements. In this paper groups containing a CC-subgroup of order divisible by 3 are completely determined.

Original language	English
Pages (from-to)	55-60
Number of pages	6
Journal	Bulletin of the Australian Mathematical Society
Volume	16
Issue number	1
DOIs	https://doi.org/10.1017/S0004972700022991
State	Published - Feb 1977

Access to Document

10.1017/S0004972700022991

Cite this

@article{5618082290c44ff8ab4dd744be283432,

title = "A classification of groups with a centralizer condition II",

abstract = "Let G be a finite group. A nontrivial proper subgroup M of G is called a CC-subgpoup if M contains the centralizer in G of each of its nonidentity elements. In this paper groups containing a CC-subgroup of order divisible by 3 are completely determined.",

author = "Zvi Arad and Marcel Herzog",

year = "1977",

month = feb,

doi = "10.1017/S0004972700022991",

language = "אנגלית",

volume = "16",

pages = "55--60",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - A classification of groups with a centralizer condition II

AU - Arad, Zvi

AU - Herzog, Marcel

PY - 1977/2

Y1 - 1977/2

N2 - Let G be a finite group. A nontrivial proper subgroup M of G is called a CC-subgpoup if M contains the centralizer in G of each of its nonidentity elements. In this paper groups containing a CC-subgroup of order divisible by 3 are completely determined.

AB - Let G be a finite group. A nontrivial proper subgroup M of G is called a CC-subgpoup if M contains the centralizer in G of each of its nonidentity elements. In this paper groups containing a CC-subgroup of order divisible by 3 are completely determined.

UR - https://www.scopus.com/pages/publications/12744257841

U2 - 10.1017/S0004972700022991

DO - 10.1017/S0004972700022991

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

AN - SCOPUS:12744257841

SN - 0004-9727

VL - 16

SP - 55

EP - 60

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 1

ER -

A classification of groups with a centralizer condition II

Abstract

Access to Document

Other files and links

Fingerprint

Cite this