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RESEARCH ARTICLE
An OD-characterizable class of simple groups
M. Akbaria, X. Y. Chenb, A. R. Moghaddamfarc a Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
b College of Sciences, Henan University of Technology, 450001, Zhengzhou, China
c Faculty of Mathematics, K. N. Toosi University of Technology, P.O.~Box 16765-3381, Tehran, Iran
Abstract:
It is proved that nonabelian finite simple groups $S$ with $\max \pi(S)=37$ are uniquely determined by their order and degree pattern in the class of all finite groups.
Keywords:
OD-characterization of a finite group, prime graph, degree pattern, simple group.
Received: 22.01.2018
Citation:
M. Akbari, X. Y. Chen, A. R. Moghaddamfar, “An OD-characterizable class of simple groups”, Algebra Discrete Math., 29:1 (2020), 42–51
Linking options:
https://www.mathnet.ru/eng/adm737 https://www.mathnet.ru/eng/adm/v29/i1/p42
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Abstract page: | 78 | Full-text PDF : | 37 | References: | 24 |
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