CORE
🇺🇦
make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
On Sylow normalizers of finite groups
Authors
A. MARTÍNEZ-PASTOR
Arad Z.
+6 more
Guo W.
Guralnick R. M.
Huppert B.
L. S. KAZARIN
M. D. PÉREZ-RAMOS
Menegazzo F.
Publication date
1 May 2014
Publisher
'World Scientific Pub Co Pte Lt'
Doi
Cite
Abstract
Electronic version of an article published as Journal of Algebra and Its Applications Vol. 13, No. 3 (2014) 1350116 (20 pages). DOI 10.1142/S0219498813501168. © [copyright World Scientific Publishing Company] http://www.worldscientific.com/[EN] The paper considers the influence of Sylow normalizers, i.e. normalizers of Sylow subgroups, on the structure of finite groups. In the universe of finite soluble groups it is known that classes of groups with nilpotent Hall subgroups for given sets of primes are exactly the subgroup- closed saturated formations satisfying the following property: a group belongs to the class if and only if its Sylow normalizers do so. The paper analyzes the extension of this research to the universe of all finite groups.The second and third authors have been supported by Proyecto MTM2010-19938C03-02, Ministerio de Econom ia y Competitividad, Spain. The first author would like to thank the Universitat de Valencia and the Universitat Politecnica de Valencia for their warm hospitality during the preparation of this paper. He has been also supported by RFBR Project 13-01-00469.Kazarin, L.; Martínez Pastor, A.; Perez Ramos, MD. (2014). On Sylow normalizers of finite groups. Journal of Algebra and Its Applications. 13(3):1-20. https://doi.org/10.1142/S0219498813501168S12013
Similar works
Full text
Available Versions
Crossref
See this paper in CORE
Go to the repository landing page
Download from data provider
info:doi/10.1142%2Fs0219498813...
Last time updated on 02/01/2020
RiuNet
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:riunet.upv.es:10251/40574
Last time updated on 25/12/2019