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Embeddings of o-groups of finite archimedean rank

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Abstract

We prove that for every \(n>2\) there exists an o-group G of finite Archimedean rank n such that G cannot be embedded in a divisible o-group of Archimedean rank n, and also prove that G can be embedded in an o-group of finite Archimedean rank greater than n.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of South Dakota, Vermillion, SD, 57069, USA

    Ramiro H. Lafuente-Rodriguez

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  1. Ramiro H. Lafuente-Rodriguez
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Correspondence to Ramiro H. Lafuente-Rodriguez.

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Presented by W. Wm. McGovern.

This article is dedicated to the memory of W. Charles Holland.

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Lafuente-Rodriguez, R.H. Embeddings of o-groups of finite archimedean rank. Algebra Univers. 82, 25 (2021). https://doi.org/10.1007/s00012-021-00713-w

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  • DOI: https://doi.org/10.1007/s00012-021-00713-w

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