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Mazurov, V.D. (1997) Characterizations of Finite Groups by Sets of Orders of Their Elements. Algebra and Logic, 36, 23-32.
https://doi.org/10.1007/bf02671951

has been cited by the following article:

• TITLE: Recognition by Spectrum of Some Finite Simple Linear Groups over Fields of Characteristic 5

  AUTHORS: Huaiyu He

  KEYWORDS: Finite Simple Groups, Recognition, Spectrum, Gruenberg-Kegel Graph

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.10, October 29, 2026

  ABSTRACT: Let L be finite simple linear groups A p ( 5 ) with prime p , ω( G ) denote the spectrum of a finite group G , i.e., the set of orders of its elements. We show that if p>3 is prime, then any finite group G with ω( G )=ω( L ) is isomorphic to L , where L= A p ( 5 ) has disconnected Gruenberg-Kegel graph. As an immediate consequence of the known results, the recognition problem for all simple groups A p ( 5 ) by spectrum is completely resolved.