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Automorphism Groups of Generalized (Binary) Icosahedral, Tetrahedral and Octahedral Groups
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2011)
Let G be any of the (binary) icosahedral, generalized octahedral (tetrahedral) groups or their quotients by the center. We calculate the automorphism group Aut(G).
Permanence properties of the second nilpotent product of groups
(Belgian Mathematical Soc Triomphe, 2019-07)
We show that amenability, the Haagerup property, the Kazhdan´s property (T) and exactness are preserved under taking second nilpotent product of groups. We also define the restricted second nilpotent wreath product of ...
Metric approximations of unrestricted wreath products when the acting group is amenable
(Taylor & Francis, 2021-09)
We give a simple and unified proof showing that the unrestricted wreath product of a weakly sofic, sofic, linear sofic, or hyperlinear group by an amenable group is weakly sofic, sofic, linear sofic, or hyperlinear, ...
On subdirect products of free pro-p groups and Demushkin groups of infinite depth
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2011)
Collective intelligence and group performance
(Sage Publications Inc, 2015-12)
We review recent research on collective intelligence, which we define as the ability of a group to perform a wide variety of tasks. We focus on two influences on a group's collective intelligence: (a) group composition ...
Abelian torsion groups with a countably compact group topology
(ELSEVIER SCIENCE BV, 2010)
Comfort and Remus [W.W. Comfort, D. Remus, Abelian torsion groups with a pseudo-compact group topology, Forum Math. 6 (3) (1994) 323-337] characterized algebraically the Abelian torsion groups that admit a pseudocompact ...
Quantization on Nilpotent Lie Groups
The purpose of this monograph is to give an exposition of the global quantization
of operators on nilpotent homogeneous Lie groups. We also present the background
analysis on homogeneous and graded nilpotent Lie groups. ...
Isometry groups of borel randomizations
(2018-08)
We study global dynamical properties of the isometry group of the Borel randomization of a separable complete structure. In particular, we show that if properties such as the Rohklin property, topometric generics, extreme ...