𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Operations on Ring Structures Preserved by Normalized Automorphisms of Group Rings

✍ Scribed by Frauke M Bleher; Ted Chinburg

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
103 KB
Volume
215
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

Let O O be a commutative ring, and suppose is a normalized O O-algebra automorphism of the group ring O OG of a finite group G over O O. In this paper we consider the action of on various algebraic structures associated to G. Suppose O O is an integral domain of characteristic 0, and that no prime divisor of the order Ž . of G is invertible in O O. We show that preserves the -ring structure of G kG 0 when k is a field with a ring homomorphism O O ª k. If O O is the ring of integers of O O Ž . a number field, we show that preserves the G O OG -module structure of the 0 Ž . O O Ž . class group Cl O OG of O OG, where G O OG is the Grothendieck group of O OG-0 lattices.

📜 SIMILAR VOLUMES

The Module Structure of a Group Action o
The Module Structure of a Group Action on a Polynomial Ring
✍ Dikran B Karagueuzian; Peter Symonds 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 141 KB

For any representation of a p-group G on a vector space of dimension 3 over a finite field k of characteristic p, we show how the symmetric algebra, regarded as a kG-module, can be expressed as a direct sum of kG-modules, each one of which is isomorphic to a summand in low degree. It follows that, f

On the Cohomology of Galois Groups Deter
On the Cohomology of Galois Groups Determined by Witt Rings
✍ Alejandro Adem; Dikran B Karagueuzian; Ján Mináč 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 494 KB

Let F denote a field of characteristic different from two. In this paper we describe the mod 2 cohomology of a Galois group G F (called the W-group of F) which is known to essentially characterize the Witt ring WF of anisotropic quadratic modules over F. We show that H\*(G F , F 2 ) contains the mod

Structure–affinity relationship of flavo
Structure–affinity relationship of flavones on binding to serum albumins: Effect of hydroxyl groups on ring A
✍ Jianbo Xiao; Hui Cao; Yuanfeng Wang; Koichiro Yamamoto; Xinlin Wei 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 425 KB

## Abstract Four flavones (flavone, 7‐hydroxyflavone, chrysin, and baicalein) sharing the same B‐ and C‐ring structure but a different numbers of hydroxyl groups on the A‐ring were studied for their affinities for BSA and HSA. The hydroxylation on ring A of flavones increased the binding constants

Algebra Structure on the Hochschild Coho
Algebra Structure on the Hochschild Cohomology of the Ring of Invariants of a Weyl Algebra under a Finite Group
✍ Mariano Suarez Alvarez 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 139 KB

group of linear automorphisms of A . In this paper, we compute the multiplicative n ⅷ Ž G . structure on the Hochschild cohomology HH A of the algebra of invariants of n ⅷ Ž G . G. We prove that, as a graded algebra, HH A is isomorphic to the graded n algebra associated to the center of the group al