• 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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