J. Guo, Guo Wen Bin, A. S. Kondrat'ev, M. S. Nirova, “Finite groups without elements of order 10: the case of solvable or almost simple groups”, Sibirsk. Mat. Zh., 2024, Volume 65, Number 4,Pages <nobr>636

Finite groups without elements of order 10: the case of solvable or almost simple groups

J. Guo^a, Guo Wen Bin^a, A. S. Kondrat'ev^bc, M. S. Nirova^d

^a School of Mathematics and Statistics, Hainan University
^b N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^c Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
^d Kabardino-Balkar State University

Abstract: We find all finite almost simple groups without elements of order $10$ and describe finite solvable groups without elements of order $2p$ for an odd prime $p$.

Keywords: finite group, solvable group, almost simple group, Gruenberg–Kegel graph (prime graph).

UDC: 512.542

MSC: 35R30

Received: 30.11.2023
Revised: 15.04.2024

DOI: 10.33048/smzh.2024.65.403