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The Problem of Expressibility in Some Extensions of Free Groups

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Functional Equations and Inequalities

Part of the book series: Mathematics and Its Applications ((MAIA,volume 518))

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Abstract

In the present paper an application of pseudocharacters to the problem of expressibility in some groups is given.

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References

  1. Adjan S.I., Mennicke Jens, On bounded generation of SL(n,Z), Int. Jour. Algebra Comput. 2 (1992), no. 4, 357–365.

    Article  Google Scholar 

  2. Bardakov V.G., To the theory of braid groups, Matematicheskii sbornik 183 (1992), no. 6, 3–43.

    Google Scholar 

  3. Ellers, Erich W., Products of transvections in one conjugacy class in the sim-plectic group over GF(3), Linear Algebra Appl. 202 (1994), 1–23.

    Article  MathSciNet  MATH  Google Scholar 

  4. Faiziev, V.A., Pseudocharacters on semidirect product of semigroups, Mathem. Zametki 53 (1993), no. 2, 132–139.

    Google Scholar 

  5. Faiziev, V.A.. Pseudocharacters on free group, Izvestya Russ. Ak. Nauk ser. mathem. 58 (1994), no. 1, 121–143.

    Google Scholar 

  6. Griffitths H.B., A note on commutators in free products., Proc. Cambridge Phil. Sos. 50 (1954), no. 2, 178–188.

    Article  Google Scholar 

  7. Newnan M., Unimodular commutators, Proc. Amer. Math. Soc. 101 (1987), no. 4, 605–609.

    Article  MathSciNet  Google Scholar 

  8. Rhemtulla A.H., A problem, of expressibility in free products, Proc. Cambridge Phil. Soc. 64 (1968), no. 3, 573–584.

    Article  MathSciNet  MATH  Google Scholar 

  9. Rhemtulla A.H., Commutators of certain finitely generated solvable groups, Canad. jour. Math. 21 (1969), no. 5, 1160–1164.

    Article  MathSciNet  MATH  Google Scholar 

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© 2000 Springer Science+Business Media Dordrecht

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Faĭziev, V. (2000). The Problem of Expressibility in Some Extensions of Free Groups. In: Functional Equations and Inequalities. Mathematics and Its Applications, vol 518. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4341-7_6

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  • DOI: https://doi.org/10.1007/978-94-011-4341-7_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5869-8

  • Online ISBN: 978-94-011-4341-7

  • eBook Packages: Springer Book Archive

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