Skip to main content
SpringerLink
Log in

Hughes problem for finitep-groups

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. D. R. Hughes, "A research problem in group theory," Bull. Am. Math. Soc.,63, No. 3, 209 (1957).

    Google Scholar 

  2. D. R. Hughes and J. G. Thompson, "The H-problem and the structure of H-groups," Pac. J. Math.,9, 1097–1101 (1959).

    Google Scholar 

  3. D. R. Hughes, "Partial difference sets," Am. J. Math.,78, 650–677 (1956).

    Google Scholar 

  4. E. G. Straus and G. Szekeres, "On a problem of D. R. Hughes," Proc. Am. Math. Soc.,9, 157–158 (1958).

    Google Scholar 

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

    Google Scholar 

  6. G. T. Hogan and W. P. Kappe, "On the Hp-problem for finite p-groups," Proc. Am. Math. Soc.,20, 450–454 (1969).

    Google Scholar 

  7. I. D. Macdonald, "Solution of the Hughes problem for finite p-groups of class 2p-2," Proc. Am. Math. Soc.,27, No. 1, 39–42 (1971).

    Google Scholar 

  8. G. E. Wall, "On Hughes' Hp-problem," Proceedings of the International Conference on the Theory of Groups, Canberra, 1965, New York (1967), pp. 357–362.

  9. G. E. Wall, "On the Lie ring of a group of prime exponent," Proceedings of the 2nd International Conference on the Theory of Groups, Canberra, 1973, Lecture Notes in Mathematics, No. 372, Berlin-London (1974), pp. 667–690.

  10. E. I. Khukhro, "On the connection between the Hughes conjecture and relations in free groups of prime period," Mat. Sb.,116, No. 2, 253–264 (1981).

    Google Scholar 

  11. E. I. Khukhro, "On the Lie ring of a free 2-generator group of prime period and the Hughes conjecture for 2-generator p-groups," Mat. Sb.,118, No. 4, 567–575 (1982).

    Google Scholar 

  12. I. D. Macdonald, "On Hughes' problem and others," J. Austral. Math. Soc.,10, 475–479 (1969).

    Google Scholar 

  13. E. I. Khukhro, "A new identity in the Lie ring of a free group of prime period," Izv. Akad. Nauk SSSR, Ser. Mat.,50, No. 6, 1308–1325 (1986).

    Google Scholar 

  14. G. E. Wall, "On the polylinear identities which hold in the Lie ring of a group of prime-power exponent," J. Algebra,104, No. 1, 1–22 (1986).

    Google Scholar 

  15. E. I. Khukhro, "On locally nilpotent groups admitting a splitting automorphism of prime order," Mat. Sb.,130, No. 1, 120–127 (1986).

    Google Scholar 

  16. A. I. Kostrikin, "On Burnside's problem," Izv. Akad. Nauk SSSR, Ser. Mat.,23, No. 1, 3–34 (1959).

    Google Scholar 

  17. G. Higman, "Groups and rings having automorphisms without nontrivial fixed elements," J. London Math. Soc.,32, 321–334 (1957).

    Google Scholar 

  18. J. Alperin, "Automorphisms of solvable groups," Proc. Am. Math. Soc.,13, 175–180 (1962).

    Google Scholar 

  19. R. B. Warfield, Nilpotent Groups, Lecture Notes in Mathematics, No. 513, Berlin (1976).

Download references

Authors
  1. E. I. Khukhro
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Algebra i Logika, Vol. 26, No. 5, pp. 642–646, September–October, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khukhro, E.I. Hughes problem for finitep-groups. Algebra and Logic 26, 398–401 (1987). https://doi.org/10.1007/BF01978693

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01978693

Keywords

Search

Navigation