• Corpus ID: 116949720

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

  title={The structure of infinite 2-groups with a unique 2-element subgroup},
  author={Taras O. Banakh},
  journal={arXiv: Group Theory},
  • 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. 



A Course in the Theory of Groups

This is a detailed introduction to the theory of groups: finite and infinite; commutative and non-commutative. Presupposing only a basic knowledge of modern algebra, it introduces the reader to the

Character Degrees, Class Sizes, and Normal Subgroups of a Certain Class of p-Groups

In this paper we investigate a particular class of finite p-groups and their extension groups. These p-groups have appeared before in the Ž w x. literature see 1 , but the main contribution of this

Algebra in superextensions of twinic groups

Given a group $X$ we study the algebraic structure of the compact right-topological semigroup $\lambda(X)$ consisting of maximal linked systems on $X$. This semigroup contains the semigroup