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On Positive Law Problems in the Class of Locally Graded Groups

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Pages 1841-1846 | Received 01 Jul 2002, Published online: 21 Oct 2011

References

  • Boffa , M. 1986 . L'elimination des inverses dans les grups (French) . C. R. Acad. Sci. Paris Ser. I Math. , 303 ( 13 ) : 587 – 589 .
  • Boffa , M. 1997 . “ Elimination of inverses in groups ” . In Model Theory of Groups and Automorphism Groups , London Math. Soc. Lecture Notes Series Vol. 224 , 134 – 143 .
  • Burns , R. G. and Medvedev , Yu. 1998 . A note on Engel groups and local nilpotence . J. Austral. Math. Soc. , 64 : 92 – 100 .
  • Burns , R. G. , Macedońska , O. and Medvedev , Yu. 1997 . Groups satisfying semigroup laws and nilpotent-by-Burnside varieties . J. Algebra , 195 : 510 – 525 . [CROSSREF]
  • Gromov , M. 1981 . Groups of polynomial growth and expanding maps . Publs. Math. Inst. Hautes Étud. Sci. , 53 : 53 – 73 .
  • Hall , P. 1959 . On the finiteness of certain soluble groups . Proc. London Math. Soc. , 9 : 595 – 622 .
  • Kim , Y. and Rhemtulla , A. H. 1995 . “ On locally graded groups ” . In Groups-Korea '94 189 – 197 . Berlin : de Gruyter .
  • Mal'cev , A. I. 1953 . Nilpotent semigroups (Russian) . Uchen. Zap. Ivanovsk. Ped. Inst. , 4 : 107 – 111 .
  • Neumann , B. H. and Taylor , T. 1963 . Subsemigroups of nilpotent groups . Proc. Roy. Soc. Ser. A , 274 : 1 – 4 .
  • Ol'shanskii , A. Yu. and Storozhev , A. A. 1996 . A group variety defined by a semigroup law . J. Austral. Math. Soc. , 60 : 255 – 259 .
  • Rosenblatt , J. M. 1974 . Invariant measures and growth conditions . Trans. Am. Math. Soc. , 193 : 33 – 53 .
  • Shalev , A. 1993 . Combinatorial conditions in residually finite groups, II . J. Algebra , 157 : 51 – 62 . [CROSSREF]
  • Shirshov , A. I. 1967 . On some positively defined group varieties (Russian) . Sib. Mat. J. , 8 : 1190 – 1192 .
  • 1999 . The Kourovka Notebook Unsolved Problems in Group Theory. 14th ed. Novosibirsk: Inst. Math. Sibirsk. Otdel. Akad. Nauk Rossii[INFOTRIEVE]
  • Traustason , G. 1999 . Semigroup identities in 4-Engel groups . J. Group Theory , 2 : 39 – 46 .
  • Vaughan-Lee , M. 1998 . On Zelmanov's solution of The Restricted Burnside Problem . J. Group Theory , 1 : 65 – 94 .
  • #Communicated by E. Puczyłowski.

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