1 citations · 1 across the 2 of their papers we have counts for
9 papers
The orders of nonsingular derivations of Lie algebras of characteristic two
Sandro Mattarei
Nonsingular derivations of modular Lie algebras which have finite multiplicative order play a role in the coclass theory for pro- groups and Lie algebras. A study of the set N_p…
On a special congruence of Carlitz
Sandro Mattarei
We prove that if is a power of a prime and divides , with , then \[ 1+(q-1)\sum_{0\le b(q-1)<a} \binom{a}{b(q-1)}\equiv 0\pmod{p^{k+1}}. \] The special cas…
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…
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…
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…