Results 61 to 70 of about 149,438 (204)
A note on finite groups with the indice of some maximal subgroups being primes [PDF]
The Theorem 12 in [A note on $p$-nilpotence and solvability of finite groups, J. Algebra 321 (2009) 1555--1560.] investigated the non-abelian simple groups in which some maximal subgroups have primes indices. In this note we show that this
Cui Zhang
doaj +1 more source
Cartan subalgebras in C*-algebras of Hausdorff etale groupoids
The reduced $C^*$-algebra of the interior of the isotropy in any Hausdorff \'etale groupoid $G$ embeds as a $C^*$-subalgebra $M$ of the reduced $C^*$-algebra of $G$.
A. Huef +25 more
core +1 more source
10 pages, latex, no figures (to be published in "Advanced Electromagnetism: Foundations, Theory, Applications", eds. T.W.Barrett and D.M.Grimes, World Sci. Publ.
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A non-abelian Stickelberger theorem [PDF]
AbstractLetL/kbe a finite Galois extension of number fields with Galois groupG. For every odd primepsatisfying certain mild technical hypotheses, we use values of ArtinL-functions to construct an element in the centre of the group ring ℤ(p)[G] that annihilates thep-part of the class group ofL.
Burns, David, Johnston, Henri
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On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth
Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
wiley +1 more source
On elementarily of radical classes of modules over noncommutative dedekind duo-domains
We find some sufficient conditions for a radical class of an idempotent radical in the category of modules over a Dedekind left bounded duo-domain to be axiomatisable. In the case of the integer numbers ring this result implies the Gorbachuk-Komarnitskii
Y. T. Bilyak, M. Ya. Komarnitskii
doaj +1 more source
An extension and a generalization of Dedekind's theorem
For any given finite abelian group, we give factorizations of the group determinant in the group algebra of any subgroup. The factorizations are an extension of Dedekind's theorem.
Yamaguchi, Naoya
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ABSTRACT Cartan's equivalence method is applied to explicitly construct three‐dimensional invariant coframes for three branches, which are used to characterize scalar second‐order ODEs with a three‐point symmetry Lie algebra. Additionally, we present a method for constructing the point transformation based on the derived invariant coframes.
Ahmad Y. Al‐Dweik +5 more
wiley +1 more source
Remarks on the abelian convexity theorem
This note contains some observations on abelian convexity theorems. Convexity along an orbit is established in a very general setting using Kempf-Ness functions.
Biliotti, Leonardo, Ghigi, Alessandro
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An Embedding Theorem for Abelian Categories
There are few recent papers on abelian categories. Thus it is a pleasure to see one which studies the embedding of a small abelian category \(\mathcal S\) as a finitely closed generating full subcategory of a Grothendieck category \(\mathcal C\). Finitely closed means that \(\mathcal S\) is closed under finite limits and colimits in \(\mathcal C\).
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