Polynomiality of the faithful dimension of nilpotent groups over finite truncated valuation rings

Mohammad Bardestani, Keivan Mallahi-Karai, Dzmitry Rumiantsau +1

The faithful dimension of a finite group $\mathrm{G}$ over $\mathbb{C}$, denoted by $m_{\mathrm{faithful}}(\mathrm{G})$, is the smallest integer $n$ such that $\mathrm{G}$ can be embedde…