20
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

On a combinatorial problem in varieties of groups

Pages 5297-5307 | Received 01 Jan 1995, Published online: 27 Jun 2007

References

  • Boffa , M. and Point , F. 1991 . Identites de Engel generalisees . C.R. Acad. Sci. Paris , 313 : 909 – 911 .
  • Endnnioni , G. 1990 . Conditions de nilpotence dans certaines varietes de groupes . C.R. Acad. Sci. Pans , 310 : 325 – 327 .
  • Endimioni , G. 1991 . Groupes dont le centralisateur d'un sous-groupe est d'ordre . Math. Ann , 291 : 475 – 479 .
  • Gruenberg , K.W. 1953 . Two theorems on Engel groups . Proc. Cambridge Philos. Soc , 49 : 377 – 380 .
  • Hall , P. 1956 . Finite-by-nilpotent groups . Proc. Cambridge Philos. Soc , 52 : 611 – 616 .
  • Kegel , O.H. and Wehrfritz , B.A.F. 1973 . Locally finite groups , North-Holland : Amsterdam .
  • Khukhro , E.I. 1992 . Lie rings and Lie groups admitting an almost regular automorphism of prime order . Math. USSR Sb , 71 : 51 – 63 .
  • Kim , P.S. , Rhemtulla , A. and Smith , H. 1991 . A characterization of infinite metabelian groups . Houston J. Math , 17 : 429 – 437 .
  • Lennox , J.C. and Wiegold , J. 1981 . Extensions of a problem of Paul Erdos on groups . J. Austral. Math. Soc , 31 : 459 – 463 .
  • Lewin , J. and Lewin , T. 1969 . Semigroup laivs in varieties of solvable groups . Proc. Cambridge Philos. Soc , 65 : 1 – 9 .
  • Longobardi , P. , Maj , M. and Rhemtulla , A. 1992 . Lnfinite groups in a given variety and Ramsey's theorem . Comm. Algebra , 20 : 127 – 139 .
  • Longobardi , P. and Maj , M. 1993 . A finiteness condition concerning commu¬tators in groups . Houston J. Math , 19 : 505 – 512 .
  • Neumann , B.H. 1976 . A problem of Paul Erdos on groups . J. Austral. Math. Soc , 21 : 467 – 472 .
  • Puglisi , 0 and Spiezia , L.S. 1994 . A combinatorial property of certain infinite groups . Comm. Algebra , 22 : 1457 – 1465 .
  • Rhemtulla , A. and Smith , H. 1994 . On infinite locally finite groups . Canad. Math. Bull , 22
  • Robinson , D.J.S. 1968 . A property of the lower central series of a group . Math. Z , 107 : 225 – 231 .
  • Robinson , D.J.S. 1982 . A course in the theory of groups , New York : Springer- Verlag .
  • Tomkinson , M.J. 1992 . Hypercentre-by-finite groups . Publ. Math. Debrecen , 40 : 313 – 321 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.