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arXiv · 1009.0180

The structure of infinite 2-groups with a unique 2-element subgroup

Taras Banakh
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Abstract

We prove that each infinite 2-group with a unique 2-element subgroup is isomorphic either to the quasicyclic 2-group or to the infinite group of generalized quaternions.

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Taras Banakh. 2010-09-01. The structure of infinite 2-groups with a unique 2-element subgroup. https://arxiv.org/abs/1009.0180

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