Andrea Caranti

activity

19992023

most citedThe group generated by the round functions of a GOST-like cipher

21 citations · 124 across the 25 of their papers we have counts for

collaborators

26 papers

math.GR2023

Elements of prime order in the upper central series of a group of prime-power order

A. Caranti, C. M. Scoppola, Gunnar Traustason

We investigate the occurrence of elements of order $p$ in the upper central series of a finite $p$ -group.

math.RA2023

Some properties of skew braces that are invariant under isoclinism

A. Caranti

Letourmy and Vendramin have recently introduced a concept of isoclinism for skew braces. We show that for a skew brace the properties of being bi-skew, $λ$ -homomorphic, and inner a…

math.RA2023★ 1 cited

Hopf-Galois structures on extensions of degree $p^{2} q$ and skew braces of order $p^{2} q$ : the elementary abelian Sylow $p$ -subgroup case

E. Campedel, A. Caranti, I. Del Corso

Let $p, q$ be distinct primes, with $p > 2$ . In a previous paper we classified the Hopf-Galois structures on Galois extensions of degree $p^{2} q$ , when the Sylow $p$ -subgroups of…

math.GR2023★ 1 cited

Finite $p$ -groups of class two with a small multiple holomorph

A. Caranti, Cindy Tsang

We consider the quotient group $T (G)$ of the multiple holomorph by the holomorph of a finite $p$ -group $G$ of class two for an odd prime $p$ . By work of the first-named author, we…

math.GR2022★ 3 cited

Finite $p$ -groups of class two with a large multiple holomorph

A. Caranti, Cindy Tsang

Let $G$ be any group. The quotient group $T (G)$ of the multiple holomorph by the holomorph of $G$ has been investigated for various families of groups $G$ . In this paper, we shall…

math.GR2022★ 16 cited

Skew braces from Rota--Baxter operators: a cohomological characterisation and some examples

A. Caranti, L. Stefanello

Rota-Baxter operators for groups were recently introduced by L. Guo, H. Lang, and Y. Sheng. V. G. Bardakov and V. Gubarev showed that with each Rota-Baxter operator one can associa…

Elements of prime order in the upper central series of a group of prime-power order

Some properties of skew braces that are invariant under isoclinism

Hopf-Galois structures on extensions of degree p2q and skew braces of order p2q: the elementary abelian Sylow p-subgroup case

Finite p-groups of class two with a small multiple holomorph

Finite p-groups of class two with a large multiple holomorph

Skew braces from Rota--Baxter operators: a cohomological characterisation and some examples

Hopf-Galois structures on extensions of degree $p^{2} q$ and skew braces of order $p^{2} q$ : the elementary abelian Sylow $p$ -subgroup case

Finite $p$ -groups of class two with a small multiple holomorph

Finite $p$ -groups of class two with a large multiple holomorph