V. Monti

activity

20182023

most citedThin subalgebras of Lie algebras of maximal class

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.RA2023

Ideally $r$ -constrained graded Lie subalgebras of maximal class algebras

Marina Avitabile, Norberto Gavioli, Valerio Monti

Let $E \supseteq F$ be a field extension and $M$ a graded Lie algebra of maximal class over $E$ . We investigate the $F$ -subalgebras $L$ of $M$ , generated by elements of degree $1$ .…

math.RA2021★ 1 cited

Thin subalgebras of Lie algebras of maximal class

M. Avitabile, A. Caranti, N. Gavioli +3

For every field $F$ which has a quadratic extension $E$ we show there are non-metabelian infinite-dimensional thin graded Lie algebras all of whose homogeneous components, except t…

math.GR2018

The breadth-degree type of a finite $p$ -group

Norberto Gavioli, Avinoam Mann, Valerio Monti

We determine an upper bound for the size of a stem $p$ -group in terms of its breadth and its maximum character degree.

Ideally r-constrained graded Lie subalgebras of maximal class algebras

Thin subalgebras of Lie algebras of maximal class

The breadth-degree type of a finite p-group

Ideally $r$ -constrained graded Lie subalgebras of maximal class algebras

The breadth-degree type of a finite $p$ -group