Lucas Reis

activity

20152026

most citedCounting solutions of special linear equations over finite fields

6 citations · 16 across the 25 of their papers we have counts for

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Showing 2026Show all

4 papers · 1 filter

math.CO2026

On a class of combinatorial group invariants

Arthur Fernandes, Claudio Qureshi, Lucas Reis +1

In this paper, we explore group invariants arising from combinatorial structures associated with finite groups, including the functional graphs of power maps and the well-studied p…

math.RA2026

Polynomial identities, central polynomials and cocharacters of $M_{2} (F)$ with $G$ -graded involution

Rafael Bezerra dos Santos, Lucas Reis

Let $F$ be a field of characteristic zero, $G$ be a finite abelian group and $M_{2} (F)$ be the algebra of $2 \times 2$ matrices over $F$ . In this paper, we consider all $G$ -graded inv…

math.RA2026

Polynomial identities, central polynomials and cocharacters of $M_{2} (F)$ with transpose superinvolution

Rafael Bezerra dos Santos, Lucas Reis

Let $F$ be a field of characteristic zero and consider $M_{2} (F),$ the algebra of $2 \times 2$ matrices over $F,$ with canonical $Z_{2}$ -grading and endowed with transpose supe…

math.CO2026

Graphs from quadratic forms and vector spaces over finite fields

Jean Godard, Lucas Reis

Let $q$ be an odd prime power, let $n \geq 2$ , and let $V ⊊ F_{q^{n}}$ be a proper $F_{q}$ -vector subspace. Given a nonzero quadratic form $Q(X,Y)\in \mathbb F_{q…

On a class of combinatorial group invariants

Polynomial identities, central polynomials and cocharacters of M2​(F) with G-graded involution

Polynomial identities, central polynomials and cocharacters of M2​(F) with transpose superinvolution

Graphs from quadratic forms and vector spaces over finite fields

Polynomial identities, central polynomials and cocharacters of $M_{2} (F)$ with $G$ -graded involution

Polynomial identities, central polynomials and cocharacters of $M_{2} (F)$ with transpose superinvolution