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The Gruenberg-Kegel graph of finite solvable rational groups.

Authors :
Debón, Sara C.
García-Lucas, Diego
del Río, Ángel
Source :
Journal of Algebra. Mar2024, Vol. 642, p470-479. 10p.
Publication Year :
2024

Abstract

A finite group G is said to be rational if every character of G is rational-valued. The Gruenberg-Kegel graph of a finite group G is the undirected graph whose vertices are the primes dividing the order of G and an edge connects a pair of different vertices p and q whenever G has an element of order pq. In this paper, we complete the classification of the Gruenberg-Kegel graphs of finite solvable rational groups initiated in [1]. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00218693
Volume :
642
Database :
Academic Search Index
Journal :
Journal of Algebra
Publication Type :
Academic Journal
Accession number :
174709374
Full Text :
https://doi.org/10.1016/j.jalgebra.2023.11.039