Every finite Abelian group
is determined by its endomorphism monoid in the class of all groups.
Then G/G' is an abelian group
and G' is minimal with respect to this property.
It is clear that (NQ, +) is an abelian group
In order to study self-dual abelian codes, it is therefore restricted to the group algebra [mathematical expression not reproducible], where A is an abelian group
of odd order and B is a nontrivial abelian group
of two power order.
Moreover, the notion of bond lattice comes from the study of Galois connections, and a natural action of set partitions that is analogous to the action of integers on any abelian group
As we will see, he can follow the same strategy in any abelian group
A subgroup H of an abelian group
G is pure in G if nH = H (1 nG, where n is any non-zero integer.
n] of units modulo n, the abelian group
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], and the affine group Aff([Z.
Sooryanarayana, Hamiltonian Distance Generating sets of an Abelian Group
, Proceedings, National Seminar on Recent developments in applications of Mathematics held at Sri Padmavathi Mahila University, Tirupati, Andhra Pradesh, India, during 21-22, March 2005.
alpha]] ([alpha] [member of] C) forms an Abelian group
with the Dirichlet series multiplication followed by a number of applications.
Let G be additive Abelian group
and H is a subgroup of G.
Cholewa (2) demonstrated that Skof's theorem is also valid if the relevant domain is replaced by an Abelian group