Skip to main content
Log in

Periodic groups saturated with direct products of suzuki groups and elementary abelian 2-groups

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

A local finiteness is proved and description is given for a group saturated with direct products of Suzuki groups and elementary abelian 2-groups.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Shlepkin A. K., “Conjugately biprimitive finite groups containing finite unsolvable subgroups,” in: Abstracts: III International Conference on Algebra (Krasnoyarsk, August 23–28, 1993), Krasnoyarsk, 1993, p. 363.

    Google Scholar 

  2. Kuznetsov A. A. and Filippov K. A., “Groups saturated by a given set of groups,” Siberian Electronic Math. Reports, 8, 230–246 (2011).

    MathSciNet  Google Scholar 

  3. Filippov K. A., Groups Saturated by Finite Nonabelian Groups and Some of Their Extensions [in Russian], Dis. Kand. Fiz.-Mat. Nauk, Krasnoyarsk (2006).

    Google Scholar 

  4. Duzh A. A., “Periodic groups saturated by direct products of the Suzuki group by elementary abelian 2-groups,” Siberian Electronic Math. Reports, 10, 408–413 (2013).

    Google Scholar 

  5. Suzuki M., “A new type of simple groups of finite order,” Proc. Nat. Acad. Sci., 46, 868–870 (1960).

    Article  MathSciNet  MATH  Google Scholar 

  6. Lytkina D. V. and Mazurov V. D., “On groups with given properties of the finite subgroups generated by couples of 2-elements,” Siberian Math. J., 54, No. 1, 96–98 (2013).

    Article  MathSciNet  MATH  Google Scholar 

  7. Shunkov V. P., “Periodic groups with an almost regular involution,” Algebra and Logic, 11, No. 4, 260–272 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  8. Sanov I. N., “Solution of Burnside’s problem for exponent 4,” Leningrad. Gos. Univ. Uchen. Zap. Ser. Mat. Nauk, No. 55, 166–170 (1940).

    Google Scholar 

  9. Lytkina D. V., “Groups saturated by finite simple groups,” Algebra and Logic, 48, No. 5, 357–370 (2009).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Duzh.

Additional information

Original Russian Text Copyright © 2013 Duzh A.A. and Lytkina D.V.

__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 5, pp. 1009–1014, September–October, 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Duzh, A.A., Lytkina, D.V. Periodic groups saturated with direct products of suzuki groups and elementary abelian 2-groups. Sib Math J 54, 805–809 (2013). https://doi.org/10.1134/S0037446613050054

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0037446613050054

Keywords

Navigation