Permanent groups. II

Permanent pacemaker implantation technique: part II.

These include: Data supplement http://heart.bmj.com/cgi/content/full/95/4/334/DC1 "Education module notice" References http://heart.bmj.com/cgi/content/full/95/4/334#BIBL This article cites 7 articles, 3 of which can be accessed free at: Rapid responses http://heart.bmj.com/cgi/eletter-submit/95/4/334 You can respond to this article at: service Email alerting the top right corner of the article...

Dihedral Groups Ii

1. Abstract characterization of Dn The group Dn has two generators r and s with orders n and 2 such that srs−1 = r−1. We will show any group with a pair of generators like r and s (except for their order) admits a homomorphism onto it from Dn, and is isomorphic to Dn if it has the same size as Dn. Theorem 1.1. Let G be generated by elements a and b where an = 1 for some n ≥ 3, b2 = 1, and bab−1...

II. Products of Groups

Algebraic Groups: Part Ii

4. Constructible sets 17 5. Connected components 18 6. Subgroups 20 7. Group actions and linearity versus affine 22 7.1. 24 8. Jordan Decomposition 27 8.1. Recall: linear algebra 27 8.2. Jordan decomposition in linear algebraic groups 30 9. Commutative algebraic groups 35 9.1. Basic decomposition 35 9.2. Diagonalizable groups and tori 35 9.2.1. Galois action 39 9.3. Action of tori on affine var...

First non-abelian cohomology of topological groups II

In this paper we introduce a new definition of the first non-abelian cohomology of topological groups.  We relate the cohomology of a normal subgroup $N$ of a topological group $G$ and the quotient $G/N$ to the cohomology of $G$. We get the inflation-restriction exact sequence. Also, we obtain a seven-term exact cohomology sequence up to dimension 2. We give an interpretation of the first non-a...