Results 81 to 90 of about 72,032 (249)

Morita equivalence classes of 2-blocks of defect three [PDF]

, 2014
We give a complete description of the Morita equivalence classes of blocks with elementary abelian defect groups of order 8 and of the derived equivalences between them.
Eaton, Charles W.
core  

Twists of twisted generalized Weyl algebras

Bulletin of the London Mathematical Society, EarlyView.
Abstract We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs.
Jason Gaddis, Daniele Rosso
wiley   +1 more source

Elementary theory of free non-abelian groups

Journal of Algebra, 2006
AbstractWe prove that any two non-abelian free groups have the same elementary theory and that this theory is decidable. These results solve two questions that were raised by Tarski in 1945.
Olga Kharlampovich, Alexei Myasnikov
openaire   +2 more sources

Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds

Bulletin of the London Mathematical Society, EarlyView.
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley   +1 more source

Flag-transitive non-symmetric 2-designs with λ prime and exceptional groups of Lie type

AIMS Mathematics
This paper contributes to the classification of flag-transitive 2-$ (v, k, \lambda) $ designs. Let $ \mathcal{D} $ be a non-trivial and non-symmetric $ 2 $-$ (v, k, \lambda) $ design with $ \lambda $ prime and $ G $ be a flag-transitive point-primitive ...
Yongli Zhang , Jiaxin Shen
doaj   +1 more source

The structure of translational tilings in $\mathbb{Z}^d$

Discrete Analysis, 2021
The structure of translational tilings in $\mathbb{Z}^d$, Discrete Analysis 2021:16, 28 pp. A significant theme in harmonic analysis, already represented by three previous papers in this journal, is that of tiling. In general, a tiling of a group $G$ by
Rachel Greenfeld, Terence Tao
doaj   +1 more source

On the universal pairing for 2‐complexes

Bulletin of the London Mathematical Society, EarlyView.
Abstract The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 in [Freedman, Kitaev, Nayak, Slingerland, Walker, and Wang, J. Geom. Topol. 9 (2005), 2303–2317]. We prove an analogous result for 2‐complexes, and show that the universal pairing does not detect the difference between simple homotopy equivalence and 3 ...
Mikhail Khovanov, Vyacheslav Krushkal, John Nicholson   +2 more
wiley   +1 more source

The abelianization of the elementary group of rank two

Proceedings of the Edinburgh Mathematical Society
Abstract For an arbitrary ring A, we study the abelianization of the elementary group $\mathit{{\rm E}}_2(A)$ . In particular, we show that for a commutative ring A there exists an exact sequence \begin{equation*} {\rm K}_2(2,A)/{\rm C}(2,A) \rightarrow A/M \rightarrow \mathit{{\rm E}}_2(A)^{\rm ab ...
Behrooz Mirzaii, Elvis Torres Pérez
openaire   +2 more sources

An elementary proof of the decomposition of measures on the circle group

, 2014
In this short note we give an elementary proof for the case of the circle group of the theorem of O. Hatori and E. Sato which states that every measure on the compact abelian group $G$ can be decomposed into a sum of two measures with natural spectrum ...
Ohrysko, Przemysław
core   +1 more source

Pathological computations of Mackey functor‐valued Tor over cyclic groups

Bulletin of the London Mathematical Society, EarlyView.
Abstract In equivariant algebra, Mackey functors play the role of abelian groups and Green and Tambara functors play the role of commutative rings. In this paper, we compute Mackey functor‐valued Tor over certain free Green and Tambara functors, generalizing the computation of Tor over a polynomial ring on one generator.
David Mehrle, J. D. Quigley, Michael Stahlhauer   +2 more
wiley   +1 more source