K-groups for rings of finite Cohen–Macaulay type
نویسندگان
چکیده
منابع مشابه
Rings of Invariants of Finite Groups
We shall prove the fundamental results of Hilbert and Noether for invariant subrings of finite subgroups of the general linear groups in the non-modular case, i.e. when the field has characteristic zero or coprime with the order of the group. We will also derive the Molien’s formula for the Hilbert series of the ring of invariants. We will show, through examples, that the Molien’s formula helps...
متن کاملRepresentations of Reductive Groups over Finite Rings
In this paper we construct a family of irreducible representations of a Chevalley group over a finite ring R of truncated power series over a field Fq . This is done by a cohomological method extending that of Deligne and the author in the case R = Fq .
متن کاملFinite Generation of K -groups of Rings of Integers in Number Fields
I present Quillen’s proof of the fact that the K-groups KiA where A is the ring of integers in a number field F are finitely generated. This talk was given in the Algebraic K-theory seminar at Michigan during the Winter semester of 2015.
متن کاملBackground on Groups, Rings, and Finite Fields
A thorough understanding of the Agrawal, Kayal, and Saxena primality test requires some tools from algebra and elementary number theory. We collect here some basic definitions and facts. These notes cannot replace a standard text on algebra, but will hopefully provide enough background to make the beautiful result [1] accessible to a computer scientist. We provide numerous exercises so that the...
متن کاملFinite Groups Embeddable in Division Rings
In [He], Herstein conjectured that odd-order subgroups of division rings K were cyclic, and he proved this to be the case when K is the division ring of the real quaternions. Herstein’s conjecture was settled negatively in [Am]. As part of his complete classification of finite groups in division rings, Amitsur showed that the smallest noncyclic odd-order group that can be embedded in a division...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2015
ISSN: 0933-7741,1435-5337
DOI: 10.1515/forum-2013-6029