C. Beli

activity

20092026

most citedOn maximal tori of algebraic groups of type G_2

3 citations · 4 across the 17 of their papers we have counts for

collaborators

17 papers

math.NT2026

Relative integral spinor norm groups over dyadic local fields

Constantin-Nicolae Beli

We give explicit formulas for the relative integral spinor norm group $θ (X (M / N))$ in the case when the base field is a local dyadic field.

math.GR2023

Two results on cohomology of groups adapted to cochains

Constantin-Nicolae Beli

Given a group $G$ and a $G$ -module $M$ , we denote by $(C (G, M), d)$ the corresponding cochain complex obtained from the standard resolution. An element of the cohomology $H (G, M)$ wil…

math.NT2020

Four conjectures by Zhi-Hong Sun

Constantin N. Beli

We prove some results conjectured by Zhi-Hong Sun regarding the value $mod p$ of $ε_{d}^{\frac{p - 1}{4}}$ , where $ε_{d}$ is a unit of norm $- 1$ in some fields $\mathb…

math.NT2020

Universal integral quadratic forms over dyadic local fields

Constantin N. Beli

A quadratic form over a non-archimedian local field of characteristic zero $F$ is called universal if it is integral and it represents all non-zero integers of $F$ . Xu Fei and Zhan…

math.GR2020

Explicit formulas for the cohomology of the elementary abelian $p$ -groups

Constantin-Nicolae Beli

Let $G$ be an elementary abelian $p$ -group, $G ≅ F_{p}^{r}$ and let $s_{1}, \dots, s_{r}$ be a basis of $G$ over $F_{p}$ . Let $V$ be the dual of $G$ , $V={\rm Hom}(G,{\ma…

math.RA2019

On the kernel of the projection map $T (V) \to S (V)$

Constantin-Nicolae Beli

If $V$ is a vector space over a field $F$ , then we consider the projection from the tensor algebra to the symmetric algebra, $ρ_{T, S} : T (V) \to S (V)$ . Our main result, in $§$ 1, gives…

Relative integral spinor norm groups over dyadic local fields

Two results on cohomology of groups adapted to cochains

Four conjectures by Zhi-Hong Sun

Universal integral quadratic forms over dyadic local fields

Explicit formulas for the cohomology of the elementary abelian p-groups

On the kernel of the projection map T(V)→S(V)

Explicit formulas for the cohomology of the elementary abelian $p$ -groups

On the kernel of the projection map $T (V) \to S (V)$