Homology groups - Open Access .click

Journal of Mathematical Sciences, 2003
Generalized braid groups \(\text{Br}({\mathcal D}_\infty)\), \(\text{Br}({\mathcal C}_m)\) and \(\text{Br}^g_\infty\) (braids of an infinite number of strings in a genus \(g\) handlebody) are considered and the Morava \(K\)-theory \(K(n)_*(\text{Br}({\mathcal D}_\infty))\), \(K(n)_*(\text{Br}^g_\infty)\), the Brown-Peterson homology \(\text{BP}_*(\text{
Broto, C., Vershinin, V. V.
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Homology Groups of Relations

The Annals of Mathematics, 1952
Any relation between the elements of a set X and the elements of a set Y is associated with two simplicial complexes K and L. A simplex of K is a finite set of elements of X related to a common element of Y; a simplex of L is a finite set of elements of Y related to a common element of X.
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Character Group of a Relative Homology Group

The Annals of Mathematics, 1940
If L is a subcomplex of a finite complex K, the topologically invariant factor group of the group of p-cycles of L bounding in K taken with respect to the subgroup of those bounding in L is useful in topology. The principal aim of this paper is to find its character group and to interpret the character group geometrically (theorems 4.2 and 4.4 at the ...
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homological methods in group theory
fos: mathematics
persistent homology

group rings
mathematics - k-theory and homology
algebra and number theory

group homology
mathematics - group theory
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