Unramified Brauer groups of finite and infinite groups

Details Unramified Brauer groups of finite and infinite groups Unramified Brauer groups of finite and infinite groups

2012-03-14

arxiv.org/abs/1203.3190v1

Mathematics

Group Theory

to appear in Amer. J. Math

Scientific paper

The Bogomolov multiplier is a group theoretical invariant isomorphic to the unramified Brauer group of a given quotient space. We derive a homological version of the Bogomolov multiplier, prove a Hopf-type formula, find a five term exact sequence corresponding to this invariant, and describe the role of the Bogomolov multiplier in the theory of central extensions. A new description of the Bogomolov multiplier of a nilpotent group of class two is obtained. We define the Bogomolov multiplier within K-theory and show that proving its triviality is equivalent to solving a long-standing problem posed by Bass. An algorithm for computing the Bogomolov multiplier is developed.

Affiliated with

Also associated with

No associations

Rating

Unramified Brauer groups of finite and infinite groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Unramified Brauer groups of finite and infinite groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unramified Brauer groups of finite and infinite groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-716240