Generalized Wreath Products of m-Groups

The concept of a generalized wreath product of permutation m-groups is introduced, and it is proved that an m-transitive permutation group embeds into a generalized wreath product of its primitive components.

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Bibliographic Details
Published in:Algebra and logic 2019-05, Vol.58 (2), p.115-122
Main Authors: Zenkov, A. V., Isaeva, O. V.
Format: Article
Language:English
Subjects:
Algebra
Groups (Mathematics)
Mathematical Logic and Foundations
Mathematical research
Mathematics
Mathematics and Statistics
Permutations
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Description
Summary:The concept of a generalized wreath product of permutation m-groups is introduced, and it is proved that an m-transitive permutation group embeds into a generalized wreath product of its primitive components.
ISSN:0002-5232
1573-8302
DOI:10.1007/s10469-019-09530-6