The non‐F graph of a finite group

Andrea Lucchini and Daniele Nemmi

Mathematische Nachrichten, 2021, vol. 294, issue 10, 1912-1921

Abstract: Given a formation F, we consider the graph whose vertices are the elements of G and where two vertices g,h∈G are adjacent if and only if g,h∉F. We are interested in the two following questions. Is the set of the isolated vertices of this graph a subgroup of G? Is the subgraph obtained by deleting the isolated vertices a connected graph?

Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://doi.org/10.1002/mana.202000491

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:294:y:2021:i:10:p:1912-1921

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().