Results 121 to 130 of about 4,731 (229)

Combing nilpotent and polycyclic groups [PDF]

open access: yes
The notable exclusions from the family of automatic groups are those nilpotent groups which are not virtually abelian, and the fundamental groups of compact 3-manifolds based on the Nil or Sol geometries.

core  

Characterizations of \(p\)-nilpotent groups

open access: yesOsaka Journal of Mathematics, 1994
Let \(G\) be a finite group and let \(p\) be a prime. The results in this paper are mainly concerned with characters of height 0 in the principal \(p\)-block and with implications for the \(p\)-nilpotency of \(G\). For example it is shown that \(G\) is \(p\)-nilpotent if and only if every character of height 0 in the principal block is modularly ...
openaire   +4 more sources

Functional central limit theorems on Lie groups: A survey [PDF]

open access: yes, 1998
The general solution of the functional central limit problems for triangular arrays of random variables with values in a Lie group is described. The role of processes of finite variation is clarified.
Gyula Pap, Pap, Gyula
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Residual Dimension of Finitely Generated Nilpotent Groups [PDF]

open access: yes, 2018
In previous work, the author claimed an effective characterization for residual finiteness and lower asymptotic bounds for conjugacy separability of all finitely generated nilpotent groups.
Pengitore, Mark A., Pengitore, Mark A
core   +1 more source

Diophantine properties of nilpotent Lie groups [PDF]

open access: yes
A finitely generated subgroup F of a real Lie group G is said to be Diophantine if there is beta > 0 such that non-trivial elements in the word ball B-Gamma(n) centered at 1 is an element of F never approach the identity of G closer than broken vertical ...
Rosenzweig, Lior   +3 more
core   +1 more source

Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if G = N × A is a connected, simply connected, nilpotent Lie group with an Abelian factor A ...
Amira Ghorbel, Hatem Hamrouni
doaj   +1 more source

Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]

open access: yesJ Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

FINITE p r-NILPOTENT GROUPS. II [PDF]

open access: yes, 1987
: In this paper we continue the study of finite p'-nilpotent groups that was started in the first part of this paper. Here we give a complete characterization of all finite groups that are not p'-nilpotent but all of whose proper subgroups are ...
30j S Srinivasan
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