A note on Abelian group extensions
نویسندگان
چکیده
منابع مشابه
On component extensions locally compact abelian groups
Let $pounds$ be the category of locally compact abelian groups and $A,Cin pounds$. In this paper, we define component extensions of $A$ by $C$ and show that the set of all component extensions of $A$ by $C$ forms a subgroup of $Ext(C,A)$ whenever $A$ is a connected group. We establish conditions under which the component extensions split and determine LCA groups which are component projective. ...
متن کاملA note on decompositions in abelian group rings
We find a necessary and sufficient condition for a normal decomposition of the group of normed units in a commutative group ring (of prime characteristic) into certain its subgroups. This extends a recent assertion of ours in (Vladikavkaz Math. J., 2007). We also give some new proofs of own recent results published in (Miskolc Math. Notes,
متن کاملFast Fourier Analysis for Abelian Group Extensions
Let G be a nite group and f any complex-valued function deened on G and an irreducible complex matrix representation of G. The Fourier transform of f at is deened to be the matrix P s2G f(s)(s). The Fourier transforms of f at all the irreducible representations of G determine f via the Fourier inversion formula f(s) = 1 j Gj P d trace(b f()(s ?1)): Direct computation of all Fourier transforms o...
متن کاملA Note on Abelian Groups
Vijayaraghavan and Chowla [2] have proved the following result. If n = 2 or has no primitive root, then there exist suitable reduced residue systems ft, r», • • • , f » and Si, s2, ■ ■ ■ , Sh, where h=in), such that riSi, r2s2, • • • , r^Sh is also a complete residue system (mod n). Since the numbers of a reduced residue system (mod n) form an abelian group with respect to multiplication, it...
متن کاملon component extensions locally compact abelian groups
let $pounds$ be the category of locally compact abelian groups and $a,cin pounds$. in this paper, we define component extensions of $a$ by $c$ and show that the set of all component extensions of $a$ by $c$ forms a subgroup of $ext(c,a)$ whenever $a$ is a connected group. we establish conditions under which the component extensions split and determine lca groups which are component projective. ...
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: Pacific Journal of Mathematics
سال: 1962
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1962.12.1401