Capable groups of prime exponent and class 2, II

Arturo Magidin

Capable groups of prime exponent and class 2, II

Group Theory 2007-05-23 v1

Authors: Arturo Magidin

Abstract

We consider the capability of $p$ groups of class two and odd prime exponent. We use linear algebra and counting arguments to establish a number of new results. In particular, we settle the 4-generator case, and prove a sufficient condition based on the ranks of $G/Z(G)$ and $[G,G]$ .

Keywords

finite groups prime number theory finite group theory

Cite

@article{arxiv.math/0506578,
  title  = {Capable groups of prime exponent and class 2, II},
  author = {Arturo Magidin},
  journal= {arXiv preprint arXiv:math/0506578},
  year   = {2007}
}

Comments

30 pp

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