Buscar
Mostrando ítems 1-10 de 6176
Describing all bi-orderings on Thompson’s group F
(2009)
We describe all possible ways of bi-ordering Thompson’s group F: its space of bi-orderings is
made up of eight isolated points and four canonical copies of the Cantor set.
Quaternion orders over quadratic integer rings from arithmetic fuchsian groups
(2012)
In this paper we show that the quaternion orders OZ[ √ 2] ≃ ( √ 2, −1)Z[ √ 2] and OZ[ √ 3] ≃ (3 + 2√ 3, −1)Z[ √ 3], appearing in problems related to the coding theory [4], [3], are not maximal orders in the quaternion ...
The left adjoint of Spec from a category of lattice-ordered groups
(Elsevier Science, 2016-05)
Let us write ℓGu f for the category whose objects are lattice-ordered abelian groups (l-groups for short) with a strong unit and finite prime spectrum endowed with a collection of Archimedean elements, one for each prime ...
THE M-ORDERED REAL FREE PRO-2-GROUP - COHOMOLOGICAL CHARACTERIZATIONS
(Marcel Dekker IncNew York, 1993)
BASS CYCLIC UNITS AS FACTORS IN A FREE GROUP IN INTEGRAL GROUP RING UNITS
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2011)
Marciniak and Sehgal showed that if u is a non-trivial bicyclic unit of an integral group ring then there is a bicyclic unit v such that u and v generate a non-abelian free group. A similar result does not hold for Bass ...
Triangle-free triangulations
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2010)
ALTERNATING UNITS AS FREE FACTORS IN THE GROUP OF UNITS OF INTEGRAL GROUP RINGS
(CAMBRIDGE UNIV PRESS, 2011)
Let G be a group of odd order that contains a non-central element x whose order is either a prime p >= 5 or 3(l), with l >= 2. Then, in U(ZG), the group of units of ZG, we can find an alternating unit u based on x, and ...
Hyperbolic unit groups and quaternion algebras
(INDIAN ACAD SCIENCES, 2009)
We classify the quadratic extensions K = Q[root d] and the finite groups G for which the group ring o(K)[G] of G over the ring o(K) of integers of K has the property that the group U(1)(o(K)[G]) of units of augmentation 1 ...
Existence and Uniqueness results for linear second-order equations in the Heisenberg group
(Suomalainen Tiedeakatemia, 2017-07)
In this manuscript, we prove uniqueness and existence results of viscosity solutions for a class of linear second-order equations in the Heisenberg group. We state uniqueness by proving a comparison result to our class of ...
Arithmetic fuchsian groups and space time block codes
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2011-01-01)
In the context of space time block codes (STBCs) the theory of arithmetic Fuchsian groups is presented. Additionally, in this work we present a new class of STBCs based on arithmetic Fuchsian groups. This new class of codes ...