Marlon Estanislau

collaborators

3 papers

math.GR2026

The profinite genus of the groups $Z^{n} ⋊ C_{p^{2}}$

Marlon Estanislau, John MacQuarrie, Anderson Porto

A formula is given for the profinite genus of groups of the form $Z^{n} ⋊ C_{p^{2}}$ , completing the calculation of the size of the genus of semidirect products of the f…

math.RT2025

A recognition theorem for permutation modules over $p$ -groups extending Weiss' Theorem

Marlon Estanislau

Let $G$ be a finite $p$ -group with normal subgroup $N$ , and $R$ a complete discrete valuation ring in mixed characteristic. We characterize permutation $R G$ -modules in terms of mod…

math.RT2025

Permutation modules over cyclic $p$ -groups

Marlon Estanislau

Let $G$ be a cyclic $p$ -group for some prime number $p > 0$ and let $R$ be a complete discrete valuation ring in mixed characteristic. In this paper, we present a generalization of t…

The profinite genus of the groups Zn⋊Cp2​

A recognition theorem for permutation modules over p-groups extending Weiss' Theorem

Permutation modules over cyclic p-groups

The profinite genus of the groups $Z^{n} ⋊ C_{p^{2}}$

A recognition theorem for permutation modules over $p$ -groups extending Weiss' Theorem

Permutation modules over cyclic $p$ -groups