English

$\mathcal{Q}$-groups satisfy the equation $T_G(r,s)=0$

Group Theory 2019-11-19 v1 Number Theory

Abstract

The present note shows that Q\mathcal{Q}-groups in [H. Heineken and F.G. Russo, Groups described by element numbers, Forum Math. 27 (2015), 1961--1977] are solvable groups (not necessarily nilpotent) for which the equation TG(r,s)=0T_G(r,s)=0 is satisfied.

Keywords

Cite

@article{arxiv.1812.05192,
  title  = {$\mathcal{Q}$-groups satisfy the equation $T_G(r,s)=0$},
  author = {Francesco G. Russo},
  journal= {arXiv preprint arXiv:1812.05192},
  year   = {2019}
}

Comments

4 pages

R2 v1 2026-06-23T06:40:50.692Z