REFERENCES
- Abdollahi , A. ( 2007 ). Engle graph associated to a group . J. Algebra 318 : 680 – 691 .
- Abdollahi , A. ( 2006 ). Groupes satisfaisant une condition de nilpotence . Math. Rep. (Bucur.) 8 : 385 – 389 .
- Abdollahi , A. , Akbari , A. , Maimani , H. R. (2006). Non-commuting graph of a group. J. Algbera 298:468–492.
- Abdollahi , A. , Mohammadi Hassanabadi , A. ( 2007 ). Non-cyclic graph of a group . Comm. Algebra 35 : 2057 – 2081 .
- Abdollahi , A. , Mohammadi Hassanabadi , A. ( 2004 ). Groups with a certain number of elements pairwise generating a non-nilpotent subgroup . Bull. Iranian Math. Soc. 30 : 1 – 20 .
- Bannuscher , W. , Tiedt , G. ( 1994 ). On a theorem of Deaconescu . Rostock. Math. Kolloq. 47 : 23 – 26 .
- Brookes , C. J. B. ( 1986 ). Engel elements of soluble groups . Bull. London Math. Soc. 18 : 7 – 10 .
- Casolo , C. ( 1989 ). Finite groups in which subnormalizers are subgroups . Rend. Sem. Mat. Univ. Padova 82 : 25 – 83 .
- Delgado , A. , Wu , Y.-F. ( 2002 ). On locally finite groups in which every element has prime power order . Illinois J. Math. 46 : 885 – 891 .
- Endimioni , G. ( 1994 ). Groupes finis satisfaisant la condition (𝒩, n) . C. R. Acad. Sci. Paris Sér. I Math. 319 : 1245 – 1247 .
- Endimioni , G. ( 1994 ). Groups covered by finitely many nilpotent subgroups . Bull. Austral. Math. Soc. 50 : 459 – 464 .
- Fulman , J. , Galloy , M. , Sherman , G. , Vanderkam , J. ( 2000 ). Counting nilpotent pairs in finite groups . Ars Combin. 54 : 161 – 178 .
- The GAP Group. ( 2005 ). GAP-Groups, Algorithms, and Programming, Version 4.4; Availbale at http://www.gap-system.org. Accessed October 4, 2010 .
- Gorenstein , D. ( 1968 ). Finite Groups . New York : Harper & Row .
- Guralnick , R. , Kunyavski\ uı , B. , Plotkin , E. , Shalev , A. ( 2006 ). Thompson-like charactrizations of the solvable radical . J. Algebra 300 : 363 – 375 .
- Heineken , H. ( 1989 ). On E-groups in the sense of Peng . Glasgow Math. J. 31 : 231 – 242 .
- Higman , G. ( 1957 ). Finite groups in which every element has prime power order . J. London Math. Soc. 32 : 335 – 342 .
- Huppert , B. ( 1967 ). Endliche Gruppen I . Berlin : Springer .
- Huppert , B. , Blackburn , N. ( 1982 ). Finite Groups, III . Berlin : Springer .
- Lennox , J. C. , Wiegold , J. ( 1981 ). Extensions of a problem of Paul Erdös on groups . J. Austral. Math. Soc. 31 : 459 – 463 .
- Neumann , B. H. ( 1976 ). A problem of Paul Erdös on groups . J. Aust. Math. Soc. Ser. A 21 : 467 – 472 .
- Peng , T. A. ( 1969 ). Finite soluble groups with an Engel condition . J. Algebra 11 : 319 – 330 .
- Robinson , D. J. S. ( 1982 ). A Course in the Theory of Groups . New York : Springer .
- Tomkinson , M. J. ( 1992 ). Hypercentre-by-finite groups . Publ. Math. Debrecen 40 : 313 – 321 .
- Communicated by A. Turull.