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Metabelian Thin Lie Algebras

- N. Gavioli, V. Monti, David S Young
- Mathematics
- 1 July 2001

Abstract A graded Lie algebra is thin if it is generated by two elements of degree 1 and each of its homogeneous ideals is located between two consecutive terms of the lower central series. In this… Expand

Pro-p groups with few normal subgroups

- Y. Barnea, N. Gavioli, A. Jaikin-Zapirain, V. Monti, C. Scoppola
- Mathematics
- 15 January 2009

Abstract Motivated by the study of pro-p groups with finite coclass, we consider the class of pro-p groups with few normal subgroups. This is not a well defined class and we offer several different… Expand

Regular subgroups with large intersection

- R. Aragona, Roberto Civino, N. Gavioli, C. Scoppola
- Mathematics, Computer Science
- ArXiv
- 14 November 2018

TLDR

Complete mappings in some linear and projective groups

- F. Dalla Volta, N. Gavioli
- Mathematics
- 1 August 1993

On the Admissibility of Some Linear and Projective Groups in Odd Characteristic

- Francesca Dalla, N. Gavioli
- Mathematics
- 1 July 1997

AbstractA bijective mapping
$$\emptyset :G \to G $$
defined on a finite group G is complete if the mapping η defined by
$$\eta (x) = x\emptyset (x) $$
,
$$x \in G $$
, is bijective. In 1955 M.… Expand

Minimal counterexamples to a conjecture of Hall and Paige

- F. Dalla Volta, N. Gavioli
- Mathematics
- 1 September 2001

Abstract. A complete map for a group G is a permutation $$ \varphi\colon G\to G $$ such that $$ g\mapsto g\varphi(g) $$ is still a permutation of G. A conjecture of M. Hall and L. J. Paige states… Expand

Ideally constrained Lie algebras

- N. Gavioli, V. Monti
- Mathematics
- 1 July 2002

Abstract In this paper we deal with graded Lie algebras L such that there exists a positive integer r such that for every positive integer i and for every homogeneous ideal I ⊈ L i the inclusion I ⊇… Expand

On small waist pairs in pro-p groups

- N. Gavioli, L. Legarreta, M. Ruscitti, C. Scoppola
- Mathematics
- 1 June 2019

In this paper we analyze a list of general properties of waists and waist pairs in a pro-p group, these being subgroups or pairs of subgroups comparable in some sense with respect to inclusion with… Expand

Positive laws on large sets of generators

- C. Acciarri, G. Fern, N. Gavioli
- Mathematics
- 2009

On the number of conjugacy classes of normalisers in a finite p -group

- N. Gavioli, L. Legarreta, C. Sica, M. Tota
- Mathematics
- 1 April 2006

In 1996 Poland and Rhemtulla proved that the number ν(G) of conjugacy classesof non-normal subgroups of a non-Hamiltonian nilpotent group G is at least c − 1,where c is the nilpotency class of G. In… Expand

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