Hall Graph of a Finite Group

Authors

  • B. Akbari

DOI:

https://doi.org/10.1285/i15900932v39n2p25

Keywords:

Hall graph, degree pattern of Hall graph, Hall subgroup, simple group

Abstract

The Hall graph of a finite group $G$ is a simple graph whose vertex set is $\pi(G)$, the set of all prime divisors of its order, and two distinct primes $p$ and $q$ are joined by an edge if $G$ has at least one Hall $\{p, q\}$-subgroup. For all primes $p_1<\cdots

Downloads

Published

03-02-2020

Issue

Section

Articoli