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LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS
Year 2009,
Volume: 5 Issue: 5, 7 - 16, 01.06.2009
Jiangmin Pan
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
Jiangmin Pan
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.
Cite
APA |
Pan, J. (2009). LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS. International Electronic Journal of Algebra, 5(5), 7-16. |
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AMA |
Pan J. LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS. IEJA. June 2009;5(5):7-16. |
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Chicago |
Pan, Jiangmin. “LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS”. International Electronic Journal of Algebra 5, no. 5 (June 2009): 7-16. |
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EndNote |
Pan J (June 1, 2009) LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS. International Electronic Journal of Algebra 5 5 7–16. |
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IEEE |
J. Pan, “LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS”, IEJA, vol. 5, no. 5, pp. 7–16, 2009. |
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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. |
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Vancouver |
Pan J. LAWS OF METABELIAN PRODUCTS OF ABELIAN GROUPS. IEJA. 2009;5(5):7-16. |
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