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

DOI10.3390/AXIOMS8040128arXiv1812.05192WikidataQ126797212 ScholiaQ126797212MaRDI QIDQ6311101

Francesco Russo

Publication date: 12 December 2018

Abstract: The present note shows that $mathcalQ$-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 $T_G(r,s)=0$ is satisfied.

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

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