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2-Frobenius groups isospectral to the simple group U 3(3)

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Abstract

We describe the structure of a 2-Frobenius group isospectral to the finite simple group U 3(3) and construct the corresponding examples.

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References

  1. Mazurov V. D. and Shi W. J., “A criterion of unrecognizability by spectrum for finite groups,” Algebra and Logic, 51, No. 2, 160–162 (2012).

    Article  MATH  MathSciNet  Google Scholar 

  2. Williams J. S., “Prime graph components of finite groups,” J. Algebra, 69, No. 2, 487–513 (1981).

    Article  MATH  MathSciNet  Google Scholar 

  3. Aleeva M. R., “On finite simple groups with the set of element orders as in a Frobenius group or a double Frobenius group,” Math. Notes, 73, No. 3, 299–313 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  4. Lucido M. S. and Moghaddamfar A. R., “Groups with complete prime graph connected components,” J. Group Theory, 7, No. 3, 373–384 (2004).

    Article  MATH  MathSciNet  Google Scholar 

  5. Staroletov A. M., “Insolubility of finite groups which are isospectral to the alternating group of degree 10,” Sib. Elektron. Mat. Izv., 5, 20–24 (2008).

    MATH  MathSciNet  Google Scholar 

  6. Zavarnitsine A. V., “A solvable group isospectral to S 4(3),” Siberian Math. J., 51, No. 1, 20–24 (2010).

    Article  MATH  Google Scholar 

  7. Zinov’eva M. R. and Mazurov V. D., “On finite groups with disconnected prime graph,” Proc. Steklov Inst. Math., 283, No. Suppl. 1, S139–S145 (2013).

    Article  MATH  Google Scholar 

  8. Mazurov V. D., “Recognition of finite simple groups S4(q) by their element orders,” Algebra and Logic, 41, No. 2, 93–110 (2002).

    Article  MathSciNet  Google Scholar 

  9. GAP—Groups, Algorithms and Programming (http://www.gap-system.org).

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Correspondence to V. D. Mazurov.

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Original Russian Text Copyright © 2015 Mazurov V.D.

Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 6, pp. 1384–1390, November–December, 2015; DOI: 10.17377/smzh.2015.56.615.

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Mazurov, V.D. 2-Frobenius groups isospectral to the simple group U 3(3). Sib Math J 56, 1108–1113 (2015). https://doi.org/10.1134/S0037446615060154

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  • DOI: https://doi.org/10.1134/S0037446615060154

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