14 citations · 69 across the 33 of their papers we have counts for
5 papers · 1 filter
Thin loop algebras of Albert-Zassenhaus algebras
Marina Avitabile, Sandro Mattarei
Thin Lie algebras are Lie algebras over a field, graded over the positive integers and satisfying a certain narrowness condition. In particular, all homogeneous components have dim…
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…
A note on automorphisms of free nilpotent groups
Sandro Mattarei
We exhibit normal subgroups of a free nilpotent group F of rank two and class three, which have isomorphic finite quotients but are not conjugate under any automorphism of F.
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…
Root multiplicities and number of nonzero coefficients of a polynomial
Sandro Mattarei
It is known that the weight (that is, the number of nonzero coefficients) of a univariate polynomial over a field of characteristic zero is larger than the multiplicity of any of i…