Results 71 to 80 of about 146,496 (209)
Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras
Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito +3 more
wiley +1 more source
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Manfred Einsiedler, Thomas Ward
+4 more sources
Subgroup intersection graph of finite abelian groups [PDF]
Let G be a finite group with identity e. The subgroup intersection graph Gamma_SI (G) of G isa graph with vertex set G − e and two distinct vertices x and y are adjacent if and only if | i ∩ | | > 1.
T. Tamizh Chelvam, M. Sattanathan
doaj
Hopfian additive groups of rings [PDF]
A group is called Hopfian if it is not isomorphic to any of its proper factor groups, or, equivalently, any of its epimorphisms on itself is an isomorphism, i.e., an automorphism. This property was first proved by the Swiss mathematician H.
Kaigorodov, Evgeniy Vladimirovich
doaj +1 more source
Limits in compact abelian groups
Let X be compact abelian group and G its dual (a discrete group). If B is an infinite subset of G, let C_B be the set of all x in X such that converges to 1. If F is a free filter on G, let D_F be the union of all the C_B for B in F.
Hart, Joan E., Kunen, Kenneth
core +2 more sources
p$p$‐adic equidistribution and an application to S$S$‐units
Abstract We prove a Galois equidistribution result for torsion points in Gmn$\mathbb {G}_m^n$ in the p$p$‐adic setting for test functions of the form log|F|p$\log |F|_p$ where F$F$ is a nonzero polynomial with coefficients in the field of complex p$p$‐adic numbers.
Gerold Schefer
wiley +1 more source
On the Euler characteristic of S$S$‐arithmetic groups
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley +1 more source
Commutative Topological Semigroups Embedded into Topological Abelian Groups
In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
doaj +1 more source
Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan +2 more
wiley +1 more source
The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito +2 more
wiley +1 more source

