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 -