Results 91 to 100 of about 1,334 (223)
Infinity‐operadic foundations for embedding calculus
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants
Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley +1 more source
An Overview of Some New Classes of Abelian p-Groups [PDF]
This paper surveys results obtained in the last twelve years that gave origin to several new classes of abelian p-groups. These results have their source in the definition of the intrinsic algebraic entropy of the endomorphisms of p-groups, and are ...
Luigi Salce
doaj +1 more source
On endomorphism and automorphisms of some torsion-free modules [PDF]
The relationship between the endomorphism ring and the automorphism group of an abelian p-group has been extensively investigated. It is known that theautomorphism group need not generate the full endomorphism ring.
Goldsmith, Brendan
core +2 more sources
A limit on the Loewy length of the endomorphism ring of a module of finite length [PDF]
Let M M be a module of finite length over an arbitrary ring A A . Let S 1 , S 2 , …
Sverre O. Smalø
core +1 more source
Computing supersingular endomorphism rings using inseparable endomorphisms
We give an algorithm for computing an inseparable endomorphism of a supersingular elliptic curve $E$ defined over $\mathbb F_{p^2}$, which, conditional on GRH, runs in expected $O(p^{1/2}(\log p)^2(\log\log p)^3)$ bit operations and requires $O((\log p)^2)$ storage.
Fuselier, Jenny +4 more
openaire +6 more sources
Natural endomorphisms of Burnside rings [PDF]
The Burnside ring B ( G )
openaire +1 more source
Rational torsion points on abelian surfaces with quaternionic multiplication
Let A be an abelian surface over ${\mathbb {Q}}$ whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur’s theorem for elliptic curves, we show that the torsion subgroup of $A({\mathbb {Q}})$
Jef Laga +3 more
doaj +1 more source
The discrete logarithm problem in Bergman's non-representable ring
Bergman's ring , parameterized by a prime number p, is a ring with p5 elements that cannot be embedded in a ring of matrices over any commutative ring. This ring was discovered in 1974.
Banin Matan, Tsaban Boaz
doaj +1 more source
The Jacobson radical of the endomorphism ring of a projective module. [PDF]
In a recently published paper [3], the elements of the Jacobson radical of a ring of row-finite matrices over an arbitrary ring R R are characterized as those matrices with entries in the Jacobson radical of R R which ...
J. Zelmanowitz, R. Ware
core +1 more source

