Now showing items 1-10 of 6617
A SURVEY ON FREE OBJECTS IN DIVISION RINGS AND IN DIVISION RINGS WITH AN INVOLUTION
(TAYLOR & FRANCIS INCPHILADELPHIA, 2013-08-02)
Let D be a division ring with center k, and let D-dagger be its multiplicative group. We investigate the existence of free groups in D-dagger, and free algebras and free group algebras in D. We also go through the case ...
Free groups in quaternion algebras
In Juriaans et al. (2009)  we constructed pairs of units u,v in Z-orders of a quaternion algebra over View the MathML source, d a positive and square free integer with View the MathML source, such that 〈un,vn〉 is free ...
A group topology on the free abelian group of cardinality c that makes its square countably compact
(POLISH ACAD SCIENCES INST MATHEMATICS, 2011)
Under p = c, we prove that it is possible to endow the free abelian group of cardinality c with a group topology that makes its square countably compact. This answers a question posed by Madariaga-Garcia and Tomita and by ...
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 ...
THE M-ORDERED REAL FREE PRO-2-GROUP - COHOMOLOGICAL CHARACTERIZATIONS
(Marcel Dekker IncNew York, 1993)
A countably compact free Abelian group of size continuum that admits a non-trivial convergent sequence
(ELSEVIER SCIENCE BVAMSTERDAM, 2012)
We show that it is consistent with ZFC that the free Abelian group of cardinality c admits a topological group topology that makes it countably compact with a non-trivial convergent sequence. (C) 2011 Elsevier B.V. All ...
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 ...
The domino problem on groups of polynomial growth
(European Mathematical Society, 2018)
We conjecture that a finitely generated group has a decidable domino problem if and only if it is virtually free. We show this is true for all virtually nilpotent finitely generated groups (or, equivalently, groups of ...
Fully residually free pro-p groups
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2010)
SUBDIRECT PRODUCTS OF FREE PRO-p AND DEMUSHKIN GROUPS
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2013)