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Number of Sylow subgroups in finite groups. / Guo, Wenbin; Vdovin, Evgeny P.

In: Journal of Group Theory, Vol. 21, No. 4, 01.07.2018, p. 695-712.

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

Harvard

Guo, W & Vdovin, EP 2018, 'Number of Sylow subgroups in finite groups', Journal of Group Theory, vol. 21, no. 4, pp. 695-712. https://doi.org/10.1515/jgth-2018-0010

APA

Guo, W., & Vdovin, E. P. (2018). Number of Sylow subgroups in finite groups. Journal of Group Theory, 21(4), 695-712. https://doi.org/10.1515/jgth-2018-0010

Vancouver

Guo W, Vdovin EP. Number of Sylow subgroups in finite groups. Journal of Group Theory. 2018 Jul 1;21(4):695-712. doi: 10.1515/jgth-2018-0010

Author

Guo, Wenbin ; Vdovin, Evgeny P. / Number of Sylow subgroups in finite groups. In: Journal of Group Theory. 2018 ; Vol. 21, No. 4. pp. 695-712.

BibTeX

@article{22777a5092ba408391dd15f8938b164a,
title = "Number of Sylow subgroups in finite groups",
abstract = "Denote by Vp(G) the number of Sylow p-subgroups of G. It is not difficult to see that Vp(H) ≥ Vp(G) for H ≥ G, however Vp(H) does not divide Vp(G) in general. In this paper we reduce the question whether Vp(H) divides Vp(G) for every H ≥ G to almost simple groups. This result substantially generalizes the previous result by G. Navarro and also provides an alternative proof of Navarros theorem.",
author = "Wenbin Guo and Vdovin, {Evgeny P.}",
year = "2018",
month = jul,
day = "1",
doi = "10.1515/jgth-2018-0010",
language = "English",
volume = "21",
pages = "695--712",
journal = "Journal of Group Theory",
issn = "1433-5883",
publisher = "Walter de Gruyter GmbH",
number = "4",

}

RIS

TY - JOUR

T1 - Number of Sylow subgroups in finite groups

AU - Guo, Wenbin

AU - Vdovin, Evgeny P.

PY - 2018/7/1

Y1 - 2018/7/1

N2 - Denote by Vp(G) the number of Sylow p-subgroups of G. It is not difficult to see that Vp(H) ≥ Vp(G) for H ≥ G, however Vp(H) does not divide Vp(G) in general. In this paper we reduce the question whether Vp(H) divides Vp(G) for every H ≥ G to almost simple groups. This result substantially generalizes the previous result by G. Navarro and also provides an alternative proof of Navarros theorem.

AB - Denote by Vp(G) the number of Sylow p-subgroups of G. It is not difficult to see that Vp(H) ≥ Vp(G) for H ≥ G, however Vp(H) does not divide Vp(G) in general. In this paper we reduce the question whether Vp(H) divides Vp(G) for every H ≥ G to almost simple groups. This result substantially generalizes the previous result by G. Navarro and also provides an alternative proof of Navarros theorem.

UR - http://www.scopus.com/inward/record.url?scp=85046032700&partnerID=8YFLogxK

U2 - 10.1515/jgth-2018-0010

DO - 10.1515/jgth-2018-0010

M3 - Article

AN - SCOPUS:85046032700

VL - 21

SP - 695

EP - 712

JO - Journal of Group Theory

JF - Journal of Group Theory

SN - 1433-5883

IS - 4

ER -

ID: 12916503