Results 181 to 190 of about 816 (210)
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The Non-Slender Rank of an Abelian Group
1984For a family (Ai)i∈I of Abelian groups and a cardinal K we define the K-product \(\mathop \Pi \limits_{i \in I} {A_i}\) to be the subgroup of the cartesian product \({\mathop \Pi \limits_I ^{(K)}}A\) consisting of all elements which support is less than K. Let us write AI(K) instead of \({A^{I(w)}} = \mathop \oplus \limits_I A\), A(I) instead of (math)
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Induced Representations of Abelian Groups of Finite Rank
Ukrainian Mathematical Journal, 2003We prove that any irreducible faithful representation of an almost torsion-free Abelian group G of finite rank over a finitely generated field of characteristic zero is induced from an irreducible representation of a finitely generated subgroup of the group G.
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TORSION-FREE ABELIAN GROUPS OF RANK 3
Mathematics of the USSR-Sbornik, 1991Torsion-free abelian groups similar in properties to torsion-free abelian groups of rank 3, in particular the groups of rank 3 themselves, can be characterized up to quasi-isomorphism by means of certain invariants. From the invariants of each such group one can compute invariants of its pure subgroups and invariants of its factor-groups modulo its ...
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Groups of finite non-Abelian sectional rank
Ukrainian Mathematical Journal, 1997We study non-Abelian locally finite groups and non-Abelian locally solvable groups of finite non-Abelian sectional rank and prove that their (special) rank is finite.
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On Blocks with Abelian Defect Groups of Small Rank
Results in Mathematics, 2016Let B be a p-block of a finite group with abelian defect group D. Suppose that D has no elementary abelian direct summand of order p 4. Then, we show that B satisfies Brauer’s k(B)-Conjecture (i.e. $${k(B)\le|D|}$$
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Rigidity in Higher Rank Abelian Group Actions
2011This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal methods presently used in various aspects of the rigidity theory.
Viorel Niţică, Anatole Katok
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Experimental observation of non-Abelian topological charges and edge states
Nature, 2021Qinghua Guo +2 more
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Non-Abelian braiding of graph vertices in a superconducting processor
Nature, 2023Yuri D Lensky, M R Hoffmann, Jiun How Ng
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Non-Abelian braiding on photonic chips
Nature Photonics, 2022Xu-lin Zhang, Feng Yu, Ze-guo Chen
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Experimental observation of non-Abelian topological acoustic semimetals and their phase transitions
Nature Physics, 2021Xue-tai Chen, Adrien Bouhon, Feng Li
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