Results 91 to 100 of about 146,496 (209)

Assembly of constructible factorization algebras

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factorization algebras form a sheaf of symmetric monoidal ∞$\infty$‐categories.
Eilind Karlsson, Claudia I. Scheimbauer, Tashi Walde   +2 more
wiley   +1 more source

Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley   +1 more source

Automorphism Groups of Abelian p-Groups [PDF]

Proceedings of the American Mathematical Society, 1975
Let r be the automorphism group of a nonelementary reduced abelian p-group, p > 5. It is shown that every noncentral norinal subgroup of r contains a noncentral elementary abelian normal p-subgroup of r of rank at least 2. 1. The result. Throughout the following, G is a reduced p-primary abelian group, p > 5, and F is the group of all automorphisms of ...
openaire   +2 more sources

Growth functions for some uniformly amenable groups

Open Mathematics, 2017
We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case.
Dronka Janusz, Wajnryb Bronislaw, Witowicz Paweł, Orzechowski Kamil   +3 more
doaj   +1 more source

Bracket Products on Locally Compact Abelian Groups [PDF]

Journal of Sciences, Islamic Republic of Iran, 2008
We define a new function-valued inner product on L2(G), called ?-bracket product, where G is a locally compact abelian group and ? is a topological isomorphism on G.
doaj  

Extending Topological Abelian Groups by the Unit Circle

Abstract and Applied Analysis, 2013
A twisted sum in the category of topological Abelian groups is a short exact sequence 0→Y→X→Z→0 where all maps are assumed to be continuous and open onto their images. The twisted sum splits if it is equivalent to 0→Y→Y×Z→Z→0.
Hugo J. Bello, María Jesús Chasco, Xabier Domínguez   +2 more
doaj   +1 more source

Some special classes of n-abelian groups [PDF]

International Journal of Group Theory, 2012
Let n be an integer. A group G is said to be n-abelian if the map phi_n that sends g to g^n is an endomorphism of G. Then (xy)^n=x^ny^n for all x,y in G, from which it follows [x^n,y]=[x,y]^n=[x,y^n]. It is also easy to see that a group G is n-abelian if
Costantino Delizia, Antonio Tortora
doaj  

NORMAL 6-VALENT CLAYEY GRAPHS OF ABELIAN GROUPS

International Journal of Industrial Engineering and Production Research, 2008
We call a Clayey graph Γ = Cay(G, S) normal for G, if the right regular representation R(G) of G is normal in the full automorphism group of Aunt(Γ). in this paper, we give a classification of all non-normal Clayey graphs of finite abelian group with ...
Mehdi Alaeiyan
doaj  

Harmonic Synthesis on Group Extensions

Mathematics
Harmonic synthesis describes translation invariant linear spaces of continuous complex valued functions on locally compact abelian groups. The basic result due to L.
László Székelyhidi
doaj   +1 more source

Non-abelian extensions and Wells exact sequences of Hom-pre-Lie algebras

Mathematics Open
In this paper, we investigate non-abelian extensions of Hom-pre-Lie algebras and extensibility of pairs of automorphisms about non-abelian extensions.
Qinxiu Sun, Weiping Jiao
doaj   +1 more source