Standard

Carter subgroups and Fitting heights of finite groups. / Guo, Wenbin; Vdovin, E. P.

In: Archiv der Mathematik, Vol. 110, No. 5, 01.05.2018, p. 427-432.

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

Harvard

Guo, W & Vdovin, EP 2018, 'Carter subgroups and Fitting heights of finite groups', Archiv der Mathematik, vol. 110, no. 5, pp. 427-432. https://doi.org/10.1007/s00013-017-1143-z

APA

Guo, W., & Vdovin, E. P. (2018). Carter subgroups and Fitting heights of finite groups. Archiv der Mathematik, 110(5), 427-432. https://doi.org/10.1007/s00013-017-1143-z

Vancouver

Guo W, Vdovin EP. Carter subgroups and Fitting heights of finite groups. Archiv der Mathematik. 2018 May 1;110(5):427-432. doi: 10.1007/s00013-017-1143-z

Author

Guo, Wenbin ; Vdovin, E. P. / Carter subgroups and Fitting heights of finite groups. In: Archiv der Mathematik. 2018 ; Vol. 110, No. 5. pp. 427-432.

BibTeX

@article{d9ff3f68f3b84b4eb305f3313665441f,
title = "Carter subgroups and Fitting heights of finite groups",
abstract = "Let G be a finite group possessing a Carter subgroup K. Denote by (Formula presented.) the Fitting height of G, by (Formula presented.) the generalized Fitting height of G, and by (Formula presented.) the number of composition factors of K, that is, the number of prime divisors of the order of K with multiplicities. In 1969, E. C. Dade proved that if G is solvable, then (Formula presented.) is bounded in terms of (Formula presented.). In this paper, we show that (Formula presented.) is bounded in terms of (Formula presented.) as well.",
keywords = "Carter subgroup, Finite group, Generalized Fitting height, Generalized Fitting subgroup",
author = "Wenbin Guo and Vdovin, {E. P.}",
year = "2018",
month = may,
day = "1",
doi = "10.1007/s00013-017-1143-z",
language = "English",
volume = "110",
pages = "427--432",
journal = "Archiv der Mathematik",
issn = "0003-889X",
publisher = "Birkhauser Verlag Basel",
number = "5",

}

RIS

TY - JOUR

T1 - Carter subgroups and Fitting heights of finite groups

AU - Guo, Wenbin

AU - Vdovin, E. P.

PY - 2018/5/1

Y1 - 2018/5/1

N2 - Let G be a finite group possessing a Carter subgroup K. Denote by (Formula presented.) the Fitting height of G, by (Formula presented.) the generalized Fitting height of G, and by (Formula presented.) the number of composition factors of K, that is, the number of prime divisors of the order of K with multiplicities. In 1969, E. C. Dade proved that if G is solvable, then (Formula presented.) is bounded in terms of (Formula presented.). In this paper, we show that (Formula presented.) is bounded in terms of (Formula presented.) as well.

AB - Let G be a finite group possessing a Carter subgroup K. Denote by (Formula presented.) the Fitting height of G, by (Formula presented.) the generalized Fitting height of G, and by (Formula presented.) the number of composition factors of K, that is, the number of prime divisors of the order of K with multiplicities. In 1969, E. C. Dade proved that if G is solvable, then (Formula presented.) is bounded in terms of (Formula presented.). In this paper, we show that (Formula presented.) is bounded in terms of (Formula presented.) as well.

KW - Carter subgroup

KW - Finite group

KW - Generalized Fitting height

KW - Generalized Fitting subgroup

UR - http://www.scopus.com/inward/record.url?scp=85041921232&partnerID=8YFLogxK

U2 - 10.1007/s00013-017-1143-z

DO - 10.1007/s00013-017-1143-z

M3 - Article

AN - SCOPUS:85041921232

VL - 110

SP - 427

EP - 432

JO - Archiv der Mathematik

JF - Archiv der Mathematik

SN - 0003-889X

IS - 5

ER -

ID: 10453648