Results 201 to 210 of about 49,568 (240)

A (locally nilpotent)-by-nilpotent variety of groups

Mathematical Proceedings of the Cambridge Philosophical Society, 2002
Given positive integers k and n, let [Xfr ] be the class of all groups G such that γk(G) is locally nilpotent and [x1, x2, …, xk]n = 1 for any x1, x2, …, xk ∈ G. It is shown that [Xfr ] is a variety.
openaire   +3 more sources

A Criterion for a Group to be Nilpotent

Bulletin of the London Mathematical Society, 1992
Let \(G\) be a finite group. The character degree frequency \(m_ G: \mathbb{N} \to \mathbb{Z}\) is defined \(m_ G(n) = |\{\chi \in \text{Irr }G\mid\chi(1) = n\}|\) and the class size frequency function \(w_ G: \mathbb{N} \to \mathbb{Z}\) by \(w_ G(n) = (1/n)|\{g \in G\mid| G: C_ G(g)| = n\}|\) which is the number of conjugacy classes of \(G\) with \(n\)
John Cossey, Trevor Hawkes, and Avinoam Mann   +2 more
openaire   +2 more sources

Characters of nilpotent groups

Mathematical Proceedings of the Cambridge Philosophical Society, 1984
AbstractThe characters (extremal positive definite central functions) of discrete nilpotent groups are studied. The relationship between the set of characters of G and the primitive ideals of the group C*-algebra C*(G) is investigated. It is shown that for a large class of nilpotent groups these objects are in 1–1 correspondence.
A. L Carey, W. Moran
openaire   +3 more sources

Stably nilpotent groups

Mathematical Notes of the Academy of Sciences of the USSR, 1967
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Nilpotent fuzzy groups

Fuzzy Sets and Systems, 1999
The paper examines families of fuzzy groups [cf. \textit{M. Asaad, S. Abou-Zaid}, Fuzzy Sets Syst. 60, No. 3, 321-323 (1993; Zbl 0814.20061); \textit{J.-G. Kim}, Inf. Sci. 83, No. 3-4, 161-174 (1995; Zbl 0870.20057); \textit{M.~A.~A. Mishref}, J. Fuzzy Math. 6, No. 4, 811-819 (1998; Zbl 0922.20067)].
K. C. Gupta, B. K. Sarma
openaire   +3 more sources

Compressibility in Nilpotent Groups

Bulletin of the London Mathematical Society, 1985
A group G is compressible if whenever H is a subgroup of finite index in G there exists a copy of G of finite index in H. This paper explores this property in the class of torsion-free finitely generated nilpotent groups, and obtains a local/global theorem. The methods of pro-finite and pro-p completion are used.
openaire   +3 more sources

Finite-by-nilpotent groups

Mathematical Proceedings of the Cambridge Philosophical Society, 1956
1. Introduction. 1·1. Notation. Letandbe, respectively, the upper and lower central series of a group G. By definition, Zi+1/Zi is the centre of G/Zi and Γj+1 = [Γj, G] is the commutator subgroup of Γj with G. When necessary for clearness, we write ZiG) for Zi and Γj(G) for Γj.
openaire   +3 more sources

Subsemigroups of nilpotent groups

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963
It is shown that a semigroup can be embedded in an ilpotent group of class c if, and only if, it is cancellative and satisfies a certain law L c .
B. H. Neumann, Tekla Taylor
openaire   +3 more sources

On group rings of nilpotent groups

Israel Journal of Mathematics, 1984
Let F be a field and G a torsion-free non-abelian nilpotent group. It is well known that G contains a subgroup \(H=.\) The group algebras F[H] and F[G] are Ore domains and their skew fields of fractions are denoted by F(H) and F(G), respectively. It is proved that the elements \((1-a)^{-1}\) and \((1- a)^{-1}(1-b)^{-1}\) generate a free subalgebra of F(
openaire   +3 more sources

On a Property of Nilpotent Groups

Canadian Mathematical Bulletin, 1994
AbstractLet g be an element of a group G and [g, G] = 〈g-1a-1ga | a ∊ G〉. We prove that if G is locally nilpotent then for each g,t ∊ G either g[g, G] = t[t, G] or g[g, G] ∩ t[t, G] = Ø. The converse is true if G is finite.
openaire   +2 more sources