scholarly journals Weak density of orbit equivalence classes and free products of infinite abelian groups

2019 ◽  
Vol 148 (1) ◽  
pp. 315-324
Author(s):  
Takaaki Moriyama
Keyword(s):  
Abelian Groups ◽  
Equivalence Classes ◽  
Orbit Equivalence ◽  
Free Products ◽  
Weak Density

H-Equivalence Classes of Multiplications on Certain Fiber Spaces

1975 ◽  
Vol 27 (4) ◽  
pp. 752-765
Author(s):  
Chao-Kun Cheng
Keyword(s):  
Abelian Groups ◽  
Equivalence Classes ◽  
Homotopy Groups ◽  
Current Interest

The enumeration of the H-equivalence classes of multiplications on a space is a topic of current interest. In this paper we try to study the H-equivalence classes of multiplications on a CW complex X with finitely many non-vanishing homotopy groups, by using the Postnikov decomposition of X and multiplier arguments [1; 4], This paper presents a way to compute the set of H-equivalence classes of multiplications on X from the knowledge of certain quotient sets of H*(B Λ B, ∑) and some homotopy equivalences of B, where B represents the spaces in the Postnikov decomposition of X, and ∑ denotes abelian groups corresponding to the homotopy groups of X.

On the number of relations in free products of abelian groups

2012 ◽  
Vol 53 (4) ◽  
pp. 591-599
Author(s):  
V. G. Bardakov ◽  
M. V. Neshchadim
Keyword(s):  
Abelian Groups ◽  
Free Products

scholarly journals Commensurability and QI classification of free products of finitely generated abelian groups

2008 ◽  
Vol 137 (03) ◽  
pp. 811-813 ◽  
Author(s):  
Jason A. Behrstock ◽  
Tadeusz Januszkiewicz ◽  
Walter D. Neumann
Keyword(s):  
Abelian Groups ◽  
Finitely Generated ◽  
Free Products

scholarly journals Some cancellation theorems

1980 ◽  
Vol 30 (1) ◽  
pp. 87-97 ◽  
Author(s):  
A. R. Shastri
Keyword(s):  
Bilinear Form ◽  
Abelian Groups ◽  
Nilpotent Groups ◽  
Equivalence Classes ◽  
Finitely Generated ◽  
Free Abelian Groups ◽  
Cancellation Theorem

AbstractIf G, H and B are groups such that G × B ≃ H × B, G/[G, G]. Z(G) is free abelian and B is finitely generated abelian, then G ≃ H. The equivalence classes of triples (Vξ,A) where Vand A are finitely generated free abelian groups and ξ: V⊗ V → A is a bilinear form constitute a semigroup B undera natural external orthogonal sum. This semigroup B is cancellative. A cancellation theorem for class 2 nilpotent groups is deduced.

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