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On semidirect products and wreath products of partially ordered groups

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Abstract

The notions of Cartesian and semidirect products for partially ordered groups are considered. A series of results on those products of \( \mathcal{A}\mathcal{O} \)-groups and interpolation groups is obtained. Some results concerning wreath products of directed groups are obtained.

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Authors and Affiliations

  1. Moscow Pedagogical State University, Moscow, Russia

    E. E. Shirshova

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  1. E. E. Shirshova
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Correspondence to E. E. Shirshova.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 15, No. 1, pp. 175–184, 2009.

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Shirshova, E.E. On semidirect products and wreath products of partially ordered groups. J Math Sci 166, 806–812 (2010). https://doi.org/10.1007/s10958-010-9897-x

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  • DOI: https://doi.org/10.1007/s10958-010-9897-x

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