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arXiv · 1403.0331

Planar infinite groups

Mehdi Rajabian·Mohammad Farrokhi Derakhshandeh Ghouchan·Ahmad Erfanian
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Abstract

We will determine all infinite $2$-locally finite groups as well as infinite $2$-groups with planar subgroup graph and show that infinite groups satisfying the chain conditions containing an involution do not have planar embeddings. Also, all connected outer-planar groups and outer-planar groups satisfying the chain conditions are presented. As a result, all planar groups which are direct product of connected groups are obtained.

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BibTeXRIS

Mehdi Rajabian, Mohammad Farrokhi Derakhshandeh Ghouchan, Ahmad Erfanian. 2014-03-03. Planar infinite groups. https://arxiv.org/abs/1403.0331

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