Number of Sylow subgroups in finite groups

Wenbin Guo, Evgeny P. Vdovin

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)695-712
Number of pages18
JournalJournal of Group Theory
Volume21
Issue number4
DOIs
Publication statusPublished - 1 Jul 2018

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