Infinite groups almost all of whose elements are prime powers

S. V. Ivanov

Infinite groups almost all of whose elements are prime powers

Group Theory 2017-04-06 v2

Authors: S. V. Ivanov

Abstract

For every prime $p$ , we construct an infinite countable group that contains precisely $p-1$ elements which are not $p$ th powers.

Keywords

finite groups prime number theory finite group theory

Cite

@article{arxiv.1702.01378,
  title  = {Infinite groups almost all of whose elements are prime powers},
  author = {S. V. Ivanov},
  journal= {arXiv preprint arXiv:1702.01378},
  year   = {2017}
}

Comments

This note is withdrawn because a simpler construction of such groups, due to Peter Palfy, can be done by using iterated free products with amalgamation

Infinite groups almost all of whose elements are prime powers

Abstract

Keywords

Cite

Comments

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