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math.GR2010
The structure of infinite 2-groups with a unique 2-element subgroup
Taras Banakh
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.
math.GN2010★ 1 cited
Pontryagin duality between compact and discrete abelian inverse monoids
Taras Banakh, Olena Hryniv
For a topological monoid S the dual inverse monoid is the topological monoid of all identity preserving homomorphisms from S to the circle with attached zero. A topological monoid…
math.GR2010★ 18 cited
On subgroups of saturated or totally bounded paratopological groups
Taras Banakh, Alex Ravsky
A paratopological group is saturated if the inverse of each non-empty set has non-empty interior. It is shown that a [first-countable] paratopological gro…