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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 ...
Generalized Gottlieb and whitehead center groups of space forms
(2019-01-01)
We extend Oprea's result that the Gottlieb group G1(S2n+1/H) is ZH (the center of H) and show that for a map f: A → S2n+1/H, under some conditions on A, we have G1 f (S2n+1/H) = ZHf*(π1(A)), the centralizer of the image ...
The insensitive ruins it all: compositional and compilational influences of social sensitivity on collective intelligence in groups
(Frontiers Media S.A., 2016)
A group's collective intelligence reflects its capacity to perform well across a variety of cognitive tasks and it transcends the individual intelligence of its members. Previous research shows that group members' social ...
Global and concrete quantizations on general type I groups
(Springer-Verlag Wien, 2019)
In recent papers and books, a global quantization has been developed for unimodular groups of type I. It involves operator-valued symbols defined on the product between the group G and its unitary dual G^ , composed of ...
The insensitive ruins it all: compositional and compilational influences of social sensitivity on collective intelligence in groups
(Frontiers Media Sa, 2016-05-09)
A group's collective intelligence reflects its capacity to perform well across a variety of cognitive tasks and it transcends the individual intelligence of its members. Previous research shows that group members' social ...
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)
Metric geometry of infinite dimensional Lie groups and their homogeneous spaces
(De Gruyter, 2019-09)
We study the geometry of Lie groups G with a continuous Finsler metric, in presence of a subgroup K such that the metric is right-invariant for the action of K. We present a systematic study of the metric and geodesic ...
Free-by-Demushkin pro-p groups
(SpringerNew YorkEUA, 2005)