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Semicompleteness of Permutational Wreath Products

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Abstract

Considering the Permutational Wreath Product W of two groups A and B the following problem arises: find the relation between the semicompleteness of W and the semicompleteness of A and B. In this paper we study the semicompleteness of W assuming that A is finite abelian and B finite.

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References

  1. S. Andreadakis, On Semicomplete groups, J. London Math. Soc. 44, (1969), 361–364.

    Article  MathSciNet  MATH  Google Scholar 

  2. S. Bachmuth, E. Formanek and H Mochizuki, IA-automorphisms of certain 2-generator torsion-free groups, J. Algebra 40 (1976), 19–30.

    Article  MathSciNet  MATH  Google Scholar 

  3. Yu.V. Bodnarchuk, The Structure of the automorphism group of a non-standard wreath product, Ukrainian Math. J. 36 (1984), 143–148.

    Article  MathSciNet  Google Scholar 

  4. F. Gross, Automorphisms of permutational wreath products, J. Algebra 117(2) (1988), 472–493.

    Article  MathSciNet  MATH  Google Scholar 

  5. F. Gross, On the Uniqueness of Wreath Products, J. Algebra 147 (1992), 147–175.

    Article  MathSciNet  MATH  Google Scholar 

  6. A.M. Hassanabadi, Automorphisms of permutational wreath products, J. Austral. Mat. Soc. (Ser. A) 26 (1978), 198–208.

    Article  MATH  Google Scholar 

  7. J.D.P. Meldrum, Wreath Products of Groups and Semigroups, (Pitman Monographs and Surveys in Pure and Applied Mathematics Vol. 74, Longman, Harlow, 1995).

    MATH  Google Scholar 

  8. J. Nielsen, Die isomorphismen der algemeinen mendlicher Gruppe mit zwei Erzeugenden, Math. Ann. 78 (1917), 385–397.

    Article  MathSciNet  MATH  Google Scholar 

  9. J. Panagopoulos, Groups of automorphisms of standard wreath products, Arch. Math. (Basel), 37 (1981), 499–511.

    Article  MathSciNet  MATH  Google Scholar 

  10. J. Panagopoulos, Semicomplete Permutational Wreath Products, Algebra Colloquium, 7:3 (2000), 275–280.

    Article  MathSciNet  MATH  Google Scholar 

  11. J. Panagopoulos, IA-Automorphisms and Permutational Wreath Products, Bulletin of Greek Math. Soc. 45 (2001), 95–103.

    MathSciNet  Google Scholar 

  12. J. Panagopoulos, IA-Automorphisms of Permutational Wreath Products, Algebra Colloquium 8:4 (2001), 391–398.

    MathSciNet  MATH  Google Scholar 

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  1. Department of Mathematics, University of Athens, Panepistimiopolis, Athens, 15784, Greece

    John Panagopoulos

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  1. John Panagopoulos
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Correspondence to John Panagopoulos.

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Panagopoulos, J. Semicompleteness of Permutational Wreath Products. Results. Math. 46, 91–102 (2004). https://doi.org/10.1007/BF03322873

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  • DOI: https://doi.org/10.1007/BF03322873

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