A collection of subgroups for the generalized Burnside ring
نویسندگان
چکیده
منابع مشابه
The Generalized Burnside Ring and the K–theory of a Ring with Roots of Unity
Determining the algebraic K-theory of rings of integers in number fields has been the goal of much research. In [10] D. Quillen showed that the Hurewicz map h : Q0(S ) → BGL(Z) (see 1.1 for the notation) induces an interesting map on homotopy groups from the stable homotopy groups of spheres to the algebraic K-theory of the ring Z of rational integers. Quillen observed that if ` is an odd prime...
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This paper introduces two new Burnside rings for a finite group G, called the slice Burnside ring and the section Burnside ring. They are built as Grothendieck rings of the category of morphisms of G-sets, and of Galois morphisms of G-sets, respectively. The well known results on the usual Burnside ring, concerning ghost maps, primitive idempotents, and description of the prime spectrum, are ex...
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deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...
نقد و بررسی کتاب the collection of the quran
جان برتن استاد بازنشسته دانشگاه سنتاندروز، مولف کتاب جمعآوری قرآن است. این اثر در سال 1977 توسط انتشارات دانشگاه کمبریج به چاپ رسید. در نگاه اول، اثر مذکور مشتمل بر دو بخش و هر بخش دارای پنج فصل است. مولف در بخش اول به مسأله نسخ میپردازد و در مورد این که آیا قرآن سنت را نسخ کرده و یا بالعکس، به تفصیل سخن میگوید. نظرات شافعی و مخالفانش را در اینباره به طور مشروح بیان میکند. وی سه شکل ن...
15 صفحه اولGeneralized Burnside-grothendieck Ring Functor and Aperiodic Ring Functor Associated with Profinite Groups
For every profinite group G, we construct two covariant functors ∆G and APG from the category of commutative rings with identity to itself, and show that indeed they are equivalent to the functor WG introduced in [A. Dress and C. Siebeneicher, The Burnside ring of profinite groups and the Witt vectors construction, Adv. Math. 70 (1988), 87-132]. We call ∆G the generalized Burnside-Grothendieck ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2009
ISSN: 0001-8708
DOI: 10.1016/j.aim.2009.04.005