Dihedral crossed products of exponent 2 are abelian

被引：1

作者：

Vishne, U ^{[1
]}

机构：

[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel

来源：

ARCHIV DER MATHEMATIK | 2003年 / 80卷 / 02期

关键词：

D O I：

10.1007/s00013-003-0787-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that assuming enough roots of unity in the base field, a central simple algebra of exponent 2 which is split by a dihedral group, is also split by certain abelian groups.

引用

页码：119 / 122

页数：4

共 50 条

[1] Dihedral crossed products of exponent 2 are abelian
Uzi Vishne
Archiv der Mathematik, 2003, 80 : 119 - 122
[2] ABELIAN CROSSED-PRODUCTS
TIGNOL, JP
JOURNAL OF ALGEBRA, 1981, 70 (02) : 420 - 436
[3] Degeneracy and decomposability in abelian crossed products
McKinnie, Kelly
JOURNAL OF ALGEBRA, 2011, 328 (01) : 443 - 460
[4] ON ABELIAN UNITARY INVOLUTIONS OF CROSSED PRODUCTS
Yanchevskii, Vyacheslav I.
DOKLADY NATSIONALNOI AKADEMII NAUK BELARUSI, 2024, 68 (01): : 15 - 17
[5] (Z/2Z)4-CROSSED PRODUCTS OF EXPONENT 2
Sivatski, A. S.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2013, 12 (05)
[6] KMS STATES ON CROSSED PRODUCTS BY ABELIAN GROUPS
Christensen, Johannes
Thomsen, Klaus
MATHEMATICA SCANDINAVICA, 2021, 127 (03) : 488 - 508
[7] On the exponent of mutually permutable products of two abelian groups
Ballester-Bolinches, A.
Cossey, John
Pedraza-Aguilera, M. C.
JOURNAL OF ALGEBRA, 2016, 466 : 34 - 43
[8] Crossed products by abelian semigroups via transfer operators
Larsen, Nadia S.
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2010, 30 : 1147 - 1164
[9] GENERIC ABELIAN CROSSED PRODUCTS AND P-ALGEBRAS
AMITSUR, SA
SALTMAN, D
JOURNAL OF ALGEBRA, 1978, 51 (01) : 76 - 87
[10] GENERIC ABELIAN CROSSED PRODUCTS AND P-ALGEBRAS
AMITSUR, SA
SALTMAN, D
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (06): : A577 - A577

← 1 2 3 4 5 →