The non-$\mathfrak F$-graph of a finite group
Group Theory
2020-08-20 v1
Abstract
Given a formation , we consider the graph whose vertices are the elements of and where two vertices are adjacent if and only if . We are interested in the two following questions. Is the set of the isolated vertices of this graph a subgroup of ? Is the subgraph obtained by deleting the isolated vertices a connected graph?
Cite
@article{arxiv.2008.08455,
title = {The non-$\mathfrak F$-graph of a finite group},
author = {Andrea Lucchini and Daniele Nemmi},
journal= {arXiv preprint arXiv:2008.08455},
year = {2020}
}