Skip to main content
Log in

Finite simple groups without elements of sixth order

  • Published:
Algebra and Logic Aims and scope

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.

Literature Cited

  1. R. P. Martineau, "On simple groups of order prime to 3," Proc. London Math. Soc.,25, 213–252 (1972).

    Google Scholar 

  2. D. Gorenstein, Finite Groups, Harper and Row, New York (1968).

    Google Scholar 

  3. V. M. Busarkin and Yu. M. Gorchakov, Finite Groups Admitting a Partition [in Russian], Nauka (1968).

  4. N. D. Podufalov, "On groups without elements of order 6," in: Fifth All-Union Symposium on Group Theory, Abstracts of Reports, Krasnodar (1976), p. 69.

  5. N. D. Podufalov, "Finite simple groups without elements of order 6 and 10," Algebra Logika,14, No. 1, 79–85 (1975).

    Google Scholar 

  6. G. Higman, "Odd characterizations of finite simple groups," lecture notes, Univ. of Michigan (1968).

  7. R. Gilman and D. Gorenstein, "Finite groups with Sylow two-subgroups of class two," Trans. Am. Math. Soc.,207, 1–101, 103–126 (1975).

    Google Scholar 

  8. N. D. Podufalov, "On finite simple groups containing strongly isolated subgroups," Mat. Sb.,100, No. 3, 447–454 (1976).

    Google Scholar 

  9. D. Gorenstein and R. Lyons, "Nonsolvable finite groups with solvable 2-local subgroups," J. Algebra,38, No. 2, 453–522 (1976).

    Google Scholar 

  10. Z. Janko and J. G. Thompson, "On finite simple groups whose Sylow two-subgroups have no normal elementary subgroups of order 8," Math. Z.,113, No. 5, 385–397 (1970).

    Google Scholar 

  11. D. M. Goldschmidt, "Two-Fusion in finite groups," Ann. Math.,99, No. 1, 70–117 (1974).

    Google Scholar 

  12. M. Suzuki, "Two characteristic properties of ZT-groups," Osaka J. Math.,15, 143–150 (1963).

    Google Scholar 

Download references

Authors

Additional information

Translated from Algebra i Logika, Vol. 16, No. 2, pp. 200–203, March–April, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Podufalov, N.D. Finite simple groups without elements of sixth order. Algebra and Logic 16, 133–135 (1977). https://doi.org/10.1007/BF01668596

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01668596

Keywords

Navigation