Results 121 to 130 of about 408,425 (278)
The group of homomorphisms of abelian torsion groups
International Journal of Mathematics and Mathematical Sciences, 1979 Let G and A be abelian torsion groups. In[5], R. S. Pierce develops a complete set of invariants for Hom(G, A). To compute these invariants he introduces, and uses extensively, the group of small homomorphisms of G into A.
M. W. Legg
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The group of classes of congruent matrices with application to the group of isomorphisms of any abelian group [PDF]
, 1907 Arthur Ranum
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The abelianizations of Weyl groups of root systems extended by abelian groups
Journal of Algebra, 2008 AbstractWe investigate the class of root systems R obtained by extending an irreducible root system by a torsion-free group G. In this context there is a Weyl group W and a group U with the presentation by conjugation. We show under additional hypotheses that the kernel of the natural homomorphism U→W is isomorphic to the kernel of Uab→Wab, where Uab ...
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Limits in compact Abelian groups
Topology and its Applications, 2006 Let X be compact abelian group and G its dual (a discrete group). If B is an infinite subset of G, let C_B be the set of all x in X such that converges to 1. If F is a free filter on G, let D_F be the union of all the C_B for B in F. The sets C_B and D_F are subgroups of X. C_B always has Haar measure 0, while the measure of D_F depends on F.
Kenneth Kunen, Joan E. Hart
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DIAGRAMS OF AN ABELIAN GROUP [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractIn this paper, we characterize quadratic number fields possessing unique factorization in terms of the power cancellation property of torsion-free rank-two abelian groups, in terms of Σ-unique decomposition, in terms of a pair of point set topological properties of Eilenberg–Mac Lane spaces, and in terms of the sequence of rational primes.
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The Subgroups of the Quaternary Abelian Linear Group [PDF]
, 1914 Howard H. Mitchell
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Left-ordered inp-minimal groups
, 2017 We prove that any left-ordered inp-minimal group is abelian, and we provide an example of a non-abelian left-ordered group of dp-rank ...
Dobrowolski, Jan, Goodrick, John
core
On a variation of Sands' method
International Journal of Mathematics and Mathematical Sciences, 1986 A subset of a finite additive abelian group G is a Z-set if for all a∈G, na∈G for all n∈Z. The group G is called Z-good if in every factorization G=A⊕B, where A and B are Z-sets at least one factor is periodic. Otherwise G is called Z-bad.
Evelyn E. Obaid
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