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

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4 papers · 1 filter

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.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.GR2015

Examples of algebraic groups of type G2 having the same maximal tori

Constantin Beli, Philippe Gille, Ting-Yu Lee

Answering a question of A. Rapinchuk, we construct examples of non- isomorphic semisimple algebraic groups H1 and H2 of type G2 with coherently equivalent systems of maximal k-tori…

math.GR2014★ 3 cited

On maximal tori of algebraic groups of type G_2

Constantin Beli, Philippe Gille, Ting-Yu Lee

Given an octonion algebra over a field k, its automorphism group G is an algebraic semisimple k-group of type G_2. We study the maximal tori of G in terms of the algebra C.

Two results on cohomology of groups adapted to cochains

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

Examples of algebraic groups of type G2 having the same maximal tori

On maximal tori of algebraic groups of type G_2

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