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Metabelian Thin Lie Algebras
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 thisExpand
Pro-p groups with few normal subgroups
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 differentExpand
Regular subgroups with large intersection
In this paper, we study the relationships between the elementary abelian regular subgroups and the Sylow 2-subgroups of their normalisers in the symmetric group Sym(V), in view of the interest that they have recently raised for their applications in symmetric cryptography. Expand
On the Admissibility of Some Linear and Projective Groups in Odd Characteristic
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
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 statesExpand
Ideally constrained Lie algebras
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
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 withExpand
On the number of conjugacy classes of normalisers in a finite p -group
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. InExpand