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LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS

Year 2009, Volume: 5 Issue: 5, 7 - 16, 01.06.2009

Abstract

In this paper, it is proved that all nontrivial laws in form Qi

References

  • S. Bachmuth, Automorphisms of free metabelian groups, Trans. Amer. Math. Soc.,118 (1965), 93-104.
  • R. H. Fox, Free differential calculus I-Derivation in the free group ring, Ann. Math., 57 (1953), 547-560.
  • C. K. Gupta and E. I. Timoshenko, Generation elements for groups of the form F/R0, Algebra Logika, 40(3) (2001), 251-261.
  • C. K. Gupta and W. Holubowski, On 2-symmetry words in nilpotent groups, Ukrainian Math. J., 54(7) (2002), 1227-1233.
  • W. Holubowski, Symmetric words in metabelian groups, Comm. Algebra, 23 (1995), 5161-5167.
  • W. Holubowski, Note on symmetric words in metabelian groups, Ukrainian Math. J., 54 (2002), 1218-1220.
  • O. Macedo´nska and D. Solitar, On binary σ-invariant words in a group, Con- temp. Math., 97 (1994), 431-449.
  • W. Magnus, On a theorem of Marshall Hall, Ann. Math., 40 (1939), 764-768.
  • J. M. Pan, On 2-symmetric words and verbal subgroup of metabelian product of abelian groups, Algebra Colloq., 13(3) (2006), 535-540.
  • E. Plonka, Symmetric words in nilpotent groups of class ≤ 3, Fund. Math., 97 (1977), 95-103.
  • N. S. Romanovskii, Shmel’kin embedding for abstract and profinite groups, Algebra Logika, 38(5) (1999), 598-612.
  • A. L. Shmel’kin, Some factor groups in free products. Proc. I. G. Petroskiis Seminar, 5 (1979), 209-216.
  • W. Tomaszewski, Automorphisms permuting generators in groups and their fixed points, Ph. D. Thesis, Silesian University, Katowice 1999. Jiangmin Pan
  • Department of Mathematics School of Mathematics and Statistics Yunnan University Kunming 650031 P. R. China e-mail: jmpan@ynu.edu.cn
Year 2009, Volume: 5 Issue: 5, 7 - 16, 01.06.2009

Abstract

References

  • S. Bachmuth, Automorphisms of free metabelian groups, Trans. Amer. Math. Soc.,118 (1965), 93-104.
  • R. H. Fox, Free differential calculus I-Derivation in the free group ring, Ann. Math., 57 (1953), 547-560.
  • C. K. Gupta and E. I. Timoshenko, Generation elements for groups of the form F/R0, Algebra Logika, 40(3) (2001), 251-261.
  • C. K. Gupta and W. Holubowski, On 2-symmetry words in nilpotent groups, Ukrainian Math. J., 54(7) (2002), 1227-1233.
  • W. Holubowski, Symmetric words in metabelian groups, Comm. Algebra, 23 (1995), 5161-5167.
  • W. Holubowski, Note on symmetric words in metabelian groups, Ukrainian Math. J., 54 (2002), 1218-1220.
  • O. Macedo´nska and D. Solitar, On binary σ-invariant words in a group, Con- temp. Math., 97 (1994), 431-449.
  • W. Magnus, On a theorem of Marshall Hall, Ann. Math., 40 (1939), 764-768.
  • J. M. Pan, On 2-symmetric words and verbal subgroup of metabelian product of abelian groups, Algebra Colloq., 13(3) (2006), 535-540.
  • E. Plonka, Symmetric words in nilpotent groups of class ≤ 3, Fund. Math., 97 (1977), 95-103.
  • N. S. Romanovskii, Shmel’kin embedding for abstract and profinite groups, Algebra Logika, 38(5) (1999), 598-612.
  • A. L. Shmel’kin, Some factor groups in free products. Proc. I. G. Petroskiis Seminar, 5 (1979), 209-216.
  • W. Tomaszewski, Automorphisms permuting generators in groups and their fixed points, Ph. D. Thesis, Silesian University, Katowice 1999. Jiangmin Pan
  • Department of Mathematics School of Mathematics and Statistics Yunnan University Kunming 650031 P. R. China e-mail: jmpan@ynu.edu.cn
There are 14 citations in total.

Details

Other ID JA76ZH27PB
Journal Section Articles
Authors

Jiangmin Pan This is me

Publication Date June 1, 2009
Published in Issue Year 2009 Volume: 5 Issue: 5

Cite

APA Pan, J. (2009). LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS. International Electronic Journal of Algebra, 5(5), 7-16.
AMA Pan J. LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS. IEJA. June 2009;5(5):7-16.
Chicago Pan, Jiangmin. “LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS”. International Electronic Journal of Algebra 5, no. 5 (June 2009): 7-16.
EndNote Pan J (June 1, 2009) LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS. International Electronic Journal of Algebra 5 5 7–16.
IEEE J. Pan, “LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS”, IEJA, vol. 5, no. 5, pp. 7–16, 2009.
ISNAD Pan, Jiangmin. “LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS”. International Electronic Journal of Algebra 5/5 (June 2009), 7-16.
JAMA Pan J. LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS. IEJA. 2009;5:7–16.
MLA Pan, Jiangmin. “LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS”. International Electronic Journal of Algebra, vol. 5, no. 5, 2009, pp. 7-16.
Vancouver Pan J. LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS. IEJA. 2009;5(5):7-16.