14 citations · 69 across the 33 of their papers we have counts for
9 papers · 1 filter
Automorphisms of p-groups of maximal class
Andrea Caranti, Sandro Mattarei
Juhasz has proved that the automorphism group of a group G of maximal class of order p^n, with p\ge 5 and n>p+1, has order divisible by . We show that…
Inverse-closed additive subgroups of fields
Sandro Mattarei
We describe the additive subgroups of fields which are closed with respect to taking inverses. In particular, in characteristic different from two any such subgroup is either a sub…
Linear recurrence relations for binomial coefficients modulo a prime
Sandro Mattarei
We investigate when the sequence of binomial coefficients \binom{k}{i} modulo a prime p, for a fixed positive integer k, satisfies a linear recurrence relation of (positive) degree…
On a bound of Garcia and Voloch for the number of points of a Fermat curve over a prime field
Sandro Mattarei
In 1988 Garcia and Voloch proved the upper bound 4n^{4/3}(p-1)^{2/3} for the number of solutions over a prime finite field F_p of the Fermat equation x^n+y^n=a, where a \in F_p^* a…
Diamonds of finite type in thin Lie algebras
Sandro Mattarei, Marina Avitabile
Borrowing some terminology from pro-p groups, thin Lie algebras are N-graded Lie algebras of width two and obliquity zero, generated in degree one. In particular, their homogeneous…
Exponential functions in prime characteristic
Sandro Mattarei
In this note we determine all power series $F(X)\in 1+X\F_p[[X]]$ such that has only terms of total degree a multiple of . Up to a scalar factor, they a…