• Corpus ID: 116949720

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

@article{Banakh2010TheSO,
title={The structure of infinite 2-groups with a unique 2-element subgroup},
author={Taras O. Banakh},
journal={arXiv: Group Theory},
year={2010}
}
• T. Banakh
• Published 1 September 2010
• Mathematics
• arXiv: Group Theory
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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