A Relationship Between Connective K Theory Of Finite Groups And Number Theory
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The Connective K-Theory of Finite Groups
Author: Robert Ray Bruner
language: en
Publisher: American Mathematical Soc.
Release Date: 2003
Includes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group
Connective Real $K$-Theory of Finite Groups
Author: Robert Ray Bruner
language: en
Publisher: American Mathematical Soc.
Release Date: 2010
Focusing on the study of real connective $K$-theory including $ko^*(BG)$ as a ring and $ko_*(BG)$ as a module over it, the authors define equivariant versions of connective $KO$-theory and connective $K$-theory with reality, in the sense of Atiyah, which give well-behaved, Noetherian, uncompleted versions of the theory.
A Relationship Between Connective K-theory of Finite Groups and Number Theory
We study the relationship between Euler classes in connective K-theory of certain metacyclic groups and Eulerian periods living in algebraic number fields. The division of these Euler classes living in connective K-Theory map into a subgroup of the cyclotomic units in the algebraic number fields. With the use of algebraic number theory we further the computations in connective K-theory for certain cases.