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arXiv · 1404.0874

On Varietal Capability of Direct Products of Groups and Pair of Groups

Hanieh Mirebrahimi·Behrooz Mashayekhy
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Abstract

In this paper we give some conditions in which a direct product of groups is $\mathcal{V}-$capable if and only if each of its factors is $\mathcal{V}-$capable for some varieties $\mathcal{V}$. Moreover, we give some conditions in which a direct product of a finite family of pairs of groups is capable if and only if each of its factors is a capable pair of groups.

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Hanieh Mirebrahimi, Behrooz Mashayekhy. 2014-04-03. On Varietal Capability of Direct Products of Groups and Pair of Groups. https://arxiv.org/abs/1404.0874

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