The Schur subgroup of the Brauer group.
 159 Pages
 1974
 4.77 MB
 4972 Downloads
 English
SpringerVerlag , Berlin, New York
Finite groups, Representations of groups, Algebraic number t
Series  Lecture notes in mathematics, 397, Lecture notes in mathematics (SpringerVerlag) ;, 397. 
Classifications  

LC Classifications  QA3 .L28 no. 397, QA171 .L28 no. 397 
The Physical Object  
Pagination  iv, 159 p. 
ID Numbers  
Open Library  OL5109135M 
ISBN 10  0387068066 
LC Control Number  74181616 
The Schur Subgroup of the Brauer Group. Authors: Yamada, T. Free Preview. Buy this book eB39 The schur subgroup of an imaginary field. Pages Yamada, Toshihiko. Book Title The Schur Subgroup of the Brauer Group Authors. Yamada; Series Title Lecture Notes in.
Schur algebras. Cyclotomic algebras. The brauerwitt theorem. The schur subgroup of a padic field, p. The schur subgroup of a 2adic field. Properties of a schur algebra. The schur subgroup of a real field. The schur subgroup of an imaginary field. Some theorems for a schur : T Yamada.
Description The Schur subgroup of the Brauer group. PDF
The Schur Subgroup of the Brauer Group. Authors; Toshihiko Yamada; Book. 59 Citations; Search within book. Front Matter. Pages IV. PDF. Introduction. Toshihiko Yamada. Pages Schur algebras. Toshihiko Yamada. Pages The schur subgroup of a 2adic field. Toshihiko Yamada.
Pages Properties of a schur algebra. Toshihiko. Schur algebras. Cyclotomic algebras. The brauerwitt theorem. The schur subgroup of a padic field, p.
The schur subgroup of a 2adic field. Properties of a schur algebra. The schur subgroup of a real field. The schur subgroup of an imaginary field. Some theorems for a schur algebra. Series Title.
Journals & Books; Register Sign in. Sign in Register. Journals & Books; Help; COVID campus closures: see options for getting or retaining Remote Access to subscribed content Vol Issue 3, DecemberPages The Schur subgroup of the Brauer group.
I Cited by: The Schur subgroup of the Brauer group consists of classes of kcentral simple algebras that arise as simple components of group rings over k of finite groups. The projective Schur subgroup is obtained in a similar way but by allowing twisted group rings.
The projective Schur group relates to. The SchurClifford subgroup contains exactly the equivalence classes coming from the intended application to Clifford theory of finite groups. We show that the SchurClifford subgroup is indeed a subgroup of the BrauerClifford group, as are certain naturally defined subsets.
We also show that this SchurClifford subgroup behaves well with. The Schur Subgroup of the Brauer Group. II* TOSHIHIKO YAMADA Department of Mathematics, Tokyo Metropolitan University, Setagaya, Tokyo, Japan Communicated by W. Feit Received Septem This is a continuation of the previous paper [lo] and will determine the.
Download The Schur subgroup of the Brauer group. FB2
Theorem A. IfZ≅Z(ϑ,κ,F)for some Clifford pair(ϑ,κ), thenSC(F)(G,Z)is a subgroup ofBrCliff(G,Z). With respect to the Brauer–Clifford group, the Schur–Clifford subgroup has the same rôle as the Schur subgroup [14]with respect to the Brauer group.
We will usually write SC(G,Z)instead of SC(F)(G,Z).Cited by: 1. The subgroup of the Schur subgroup generated by cyclic cyclotomic algebras Allen Herman, Gabriela Olteanu, Shmaia Angel del R´ıo´ Universidad de Murcia Alden Biesen, The Schur group K ﬁeld Br(K) = Br(K) Brauer group of K = {[A]: A central simple K −algebra}.
Namely, G has a normal cyclic subgroup, the factor group G'/ is SCHUR SUBGROUP OF BRAUER GROUP. I isomorphic to ^, and f3 is exactly a factor set of the extension G or Cited by: The Schur Subgroup of the Brauer group. [Toshihiko Yamada] Book, Internet Resource: All Authors / Contributors: S.
Description: Seiten ; 8°. Contents: Schur algebras. Cyclotomic algebras. The brauerwitt theorem. The schur subgroup of a padic field, p. The schur subgroup of a 2adic field. Properties of a schur. JOURNAL OF ALGE () The Schur Subgroup of the Brauer Group.
II* TOSHIHIKO YAMADA Department of Mathematics, Tokyo Metropolitan University, Setagaya, Tokyo, Japan Communicated by W. Feit Received Septem INTRODUCTION This is a continuation of the previous paper [10] and will determine the Schur subgroups of some real cyclotomic fields, using the Cited by: Yamada T.
() The schur subgroup of the brauer group. In: Proceedings of the Conference on Orders, Group Rings and Related Topics. Lecture Notes in Mathematics, vol Cited by: SCHUR SUBGROUP OF BRAUER GROUP.
1 isomorphic to 3, and /3 is exactly a factor set of the extension G of ({j by 9. Since G spans B with coefficients in k, B is kisomorphic to a simple com ponent of kG. In particular, the class [B] is in the Schur subgroup S(k). Additional Physical Format: Online version: Yamada, Toshihiko, Schur subgroup of the Brauer group.
Berlin, New York, SpringerVerlag, (OCoLC) The SchurClifford subgroup contains exactly the equivalence classes coming from the intended application to Clifford theory of finite groups.
We show that the SchurClifford subgroup is indeed a subgroup of the BrauerClifford group, as are certain naturally defined subsets. We also show that this SchurClifford subgroup behaves well with. Cite this chapter as: Yamada T.
() The schur subgroup of a padic field, p≠2. In: The Schur Subgroup of the Brauer Group. Lecture Notes in Mathematics, vol Cited by: 4. The Schur group of is the subgroup of the Brauer group consisting of those classes of centrally simple algebras that occur in the group algebra of some finite group.
Since the Schur indices for are trivial in prime characteristic (Wedderburn's theorem; cf. also Schur index), one may assume that. By Brauer's theorem (cf. Schur index), the field of th roots of unity is a splitting field for. The Schur subgroup S(k) of the Brauer group JS(k) consists of those algebra classes which contain a simple component of the group algebra kG for some finite group G.
If A is a central simple algebra over k, then [A] will denote the class of A in JS(k).Cited by: We define a SchurClifford subgroup of Turull's BrauerClifford group, similar to the Schur subgroup of the Brauer group. The SchurClifford subgroup contains exactly the equivalence classes coming from the intended application to Clifford theory of finite groups.
We show that the SchurClifford subgroup is indeed a subgroup of the BrauerClifford group, as are certain naturally defined Cited by: 1. The Schur subgroup of the Brauer group. [Toshihiko Yamada] Home.
WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create Book\/a>, schema:CreativeWork\/a> ; \u00A0\u00A0\u00A0 library.
Details The Schur subgroup of the Brauer group. FB2
classes which contain a simple component of the group algebra kG for some finite group G. If A is a central simple algebra over k, then [A] will denote the class of A in B(K).
The Schur subgroup was first investigated by K. Fields and I. Herstein [5]. Since the elements of the Brauer group.
The Schur subgroup of the Brauer group. By Toshihiko Yamada. Download PDF ( KB) Cite. BibTex; Full citation; Publisher: Published by Elsevier Inc. Year: DOI identifier: /(73) OAI identifier: Provided by: Elsevier  Publisher Connector.
Downloaded Author: Toshihiko Yamada. Genre/Form: Electronic books: Additional Physical Format: Print version: Yamada, Toshihiko, Schur subgroup of the Brauer group.
Berlin, New York, SpringerVerlag. Hprojective Schur subgroup represents classes of Azumaya Ralgebras which are epimorphic image of a twisted group algebra R∗ α Gfor some G∈ H. Restricting to the case where only the trivial cocycle appears we obtain the HSchur subgroup.
On the other hand, the Brauer group of a cocommutative coalgebra C was introduced in [15]. The Brauer group is always a subgroup of the cohomological Brauer group. Gabber showed that the Brauer group is equal to the cohomological Brauer group for any scheme with an ample line bundle (for example, any quasiprojective scheme over a commutative ring).
2 CHAPTER IV. THE BRAUER GROUP PROPOSITION Let Abe an Azumaya algebra over R. Then Ahas center R; moreover, for any ideal3 JofA, JD.J\R/A, and for any ideal Iof R, \R. Thus J7!J\R is a bijection from the ideals of Ato those of R.
˚be an endomorphism of Aas an ˚is multiplication by an. Cite this chapter as: Yamada T. () The brauerwitt theorem. In: The Schur Subgroup of the Brauer Group. Lecture Notes in Mathematics, vol Then the Schur subgroup of the Brauer group is defined, in analogy with, via representations of finite groups on finitely generated projective modules.
It is easy to see that. We shall show that there is equality in the case of a purely cyclotomic extension of (where is an th root of 1). We write B(k) for the Brauer group of k, and Bn(k) for the subgroup of B(k) generated by classes of division rings of exponent n.
Let S(k) be the subgroup of B(k) consisting of all classes which contain a simple component of QfG], the group algebra of a finite group G over the rational field Q.
Following [6] we call S(k) the Schur subgroup of k.We define a SchurClifford subgroup of Turull's BrauerClifford group, similar to the Schur subgroup of the Brauer group. The SchurClifford subgroup contains exactly the equivalence classes.If k is a field, the projective Schur group PS(k) of k is the subgroup of the Brauer group Br(k) consisting of those classes which contain a projective Schur algebra, i.e., a homomorphic image of.


use of oil products by thegas industry for the manufacture of town gas as well as of gas interchangeable with natural gas, and the recently developed relevant processes.
288 Pages3.59 MB7711 DownloadsFormat: EPUB 




Statistical returns of exports and imports from 18761885
548 Pages3.25 MB3877 DownloadsFormat: EPUB 


Preservation and development of the traditional performing arts
433 Pages2.43 MB1571 DownloadsFormat: EPUB 


