V. D. Mazurov | Researchain

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Doklady Mathematics | 2010

Recognizability of the finite simple groups by spectrum and order

A. V. Vasil’ev; M. A. Grechkoseeva; V. D. Mazurov

The spectrum of a finite group is the set of its element orders. We prove that a finite group and a finite simple group are isomorphic if they have the same spectra and orders. In other words, we show that every finite simple group is uniquely determined by its spectrum and order in the class of all groups. This provides a positive answer to Question 12.39 from Kourovka Notebook.

Monatshefte für Mathematik | 2010

A new characterization of A5

Rulin Shen; Changguo Shao; Qinhui Jiang; Wujie Shi; V. D. Mazurov

Algebra and Logic | 2009

Characterization of the finite simple groups by spectrum and order

A. V. Vasil’ev; M. A. Grechkoseeva; V. D. Mazurov

Siberian Mathematical Journal | 2009

On finite groups isospectral to simple symplectic and orthogonal groups

A. V. Vasil’ev; M. A. Grechkoseeva; V. D. Mazurov

Algebra and Logic | 2008

Recognizability of finite simple groups L4(2m) and U4(2m) by spectrum

V. D. Mazurov; G. Y. Chen

Algebra and Logic | 2011

Groups of exponent 24

V. D. Mazurov

Algebra and Logic | 2012

A criterion of unrecognizability by spectrum for finite groups

V. D. Mazurov; W. J. Shi

Science China-mathematics | 2009

On periodic groups with prescribed orders of elements

V. D. Mazurov; Wujie Shi

Algebra and Logic | 2007

Periodic groups saturated with L 3(2m)

D. V. Lytkina; V. D. Mazurov

Algebra and Logic | 2012

Groups with given properties of finite subgroups

D. V. Lytkina; V. D. Mazurov

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