Ukrainian Mathematical Journal

, Volume 46, Issue 6, pp 725–734 | Cite as

On the isomorphism of wreath products of groups

  • Yu. V. Bodnarchuk


The well-known Neumann theorem on the isomorphism of standard wreath products is generalized to the wreath products of an arbitrary transitive permutation group and an abstract group.


Abelian Group Permutation Group Wreath Product Proper Subgroup Dihedral Group 
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    P. Neumann, “The structure of standard wreath products,”Math. Zh.,84, 343–373 (1964).zbMATHCrossRefGoogle Scholar
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    F. Gross,On the Uniqueness of Wreath Products, CV47AL, U. K., Mathematical Institute, University Warwick, Coventry (1989).Google Scholar
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    L. G. Kovas, “Wreath decomposition of finite permutation groups,”Bull. Austral. Math. Soc.,40, 255–279 (1989).MathSciNetGoogle Scholar
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    Yu. V. Bodnarchuk, “The structure of the group of automorphisms of nonstandard wreath products of groups,”Ukr. Mat. Zh.,36, No. 2, 143–148 (1984).CrossRefMathSciNetGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • Yu. V. Bodnarchuk

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