Maximal cyclic subgroups and prime divisors in finite groups

Z. Arad; W. Herfort

doi:10.1007/s00013-005-1449-6

Maximal cyclic subgroups and prime divisors in finite groups

Z. Arad
, W. Herfort

Department of Mathematics

Netanya Academic College
TU Wien

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

Abstract

Let G be a finite group with no chief factor simple of Lie type E ₈(q) and C a cyclic subgroup of largest order in G. It is shown that at most two primes in the open interval ([|C|/2], |C|) divide |G|.

Original language	English
Pages (from-to)	31-36
Number of pages	6
Journal	Archiv der Mathematik
Volume	85
Issue number	1
DOIs	https://doi.org/10.1007/s00013-005-1449-6
State	Published - Jul 2005

Access to Document

10.1007/s00013-005-1449-6

Cite this

@article{c670a7f4ad3b4cc49e8b23fe8b60137a,

title = "Maximal cyclic subgroups and prime divisors in finite groups",

abstract = "Let G be a finite group with no chief factor simple of Lie type E 8(q) and C a cyclic subgroup of largest order in G. It is shown that at most two primes in the open interval ([|C|/2], |C|) divide |G|.",

author = "Z. Arad and W. Herfort",

year = "2005",

month = jul,

doi = "10.1007/s00013-005-1449-6",

language = "אנגלית",

volume = "85",

pages = "31--36",

journal = "Archiv der Mathematik",

issn = "0003-889X",

publisher = "Springer International Publishing",

number = "1",

}

TY - JOUR

T1 - Maximal cyclic subgroups and prime divisors in finite groups

AU - Arad, Z.

AU - Herfort, W.

PY - 2005/7

Y1 - 2005/7

N2 - Let G be a finite group with no chief factor simple of Lie type E 8(q) and C a cyclic subgroup of largest order in G. It is shown that at most two primes in the open interval ([|C|/2], |C|) divide |G|.

AB - Let G be a finite group with no chief factor simple of Lie type E 8(q) and C a cyclic subgroup of largest order in G. It is shown that at most two primes in the open interval ([|C|/2], |C|) divide |G|.

UR - https://www.scopus.com/pages/publications/22544435232

U2 - 10.1007/s00013-005-1449-6

DO - 10.1007/s00013-005-1449-6

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

AN - SCOPUS:22544435232

SN - 0003-889X

VL - 85

SP - 31

EP - 36

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 1

ER -

Maximal cyclic subgroups and prime divisors in finite groups

Abstract

Access to Document

Other files and links

Fingerprint

Cite this