On Non-Abelian Tensor Analogues of 3-Engel and 4-Engel Groups

REFERENCES

• Biddle , D. P. , Kappe , L. C. , Morse , R. F. ( 2003 ). On subgroups related to the tensor center . Glasgow. Math. J. 42 ( 2 ): 323 – 332 .
   Web of Science ®Google Scholar
• Brown , R. , Johnson , D. L. , Robertson , E. F. ( 1987 ). Some computations of nonabelian tensor products of groups . J. Algebra 111 : 177 – 202 .
   Web of Science ®Google Scholar
• Ellis , G. ( 1995 ). Tensor products and q-crossed modouls . J. London Math. Soc. 51 ( 2 ): 243 – 258 .
   Google Scholar
• Golod , E. S. ( 1969 ). Some problems of Burnside type . Amer. Math. Soc. Trans. Ser. 48 ( 2 ): 83 – 88 .
   Google Scholar
• Havas , G. , Vaughan-Lee , M. R. ( 2005 ). 4-Engel groups are locally nilpotent . Internat. J. Algebra Comput. 15 ( 4 ): 649 – 682 .
   Web of Science ®Google Scholar
• Heineken , H. ( 1961 ). Engelsche elemente der lange drei . Illionis J. Math. 5 : 681 – 707 .
   Google Scholar
• Kappe , L. C. , Kappe , W. P. ( 1972 ). On three-Engel groups . Bull. Austral, Math. Soc. 7 : 391 – 405 .
   Google Scholar
• Levi , F. W. ( 1942 ). Groups in which the commutator operation satisfies certain algebraic conditions . J. Indian Math. Soc. 6 : 87 – 97 .
   Google Scholar
• McDermott , A. ( 1998 ). The nonabelian tensor product of groups: Computations and structural results. Ph.D. thesis, National University of Ireland, Galway .
   Google Scholar
• Moravec , P. ( 2005 ). On nonabelian tensor analogues of 2-Engel conditions . Glasg. Math. J. 47 : 77 – 86 .
   Web of Science ®Google Scholar
• Nasrabadi , M. M. , Gholamian , A. ( 2012 ). On non abelian tensor analogues of 3-Engel groups . Indagationes Mathematicae 23 : 337 – 340 .
   Web of Science ®Google Scholar
• Communicated by A. Olshanskii.
   Google Scholar