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In mathematics, specifically group theory, the free product is an operation that takes two groups G and H and constructs a new group G ∗ H. The result contains both G and H as subgroups, is generated by the elements of these subgroups, and is the “universal” group having these properties, in the sense that any two homomorphisms from G and H into a group K factor uniquely through a ...
Zazzle is an American online marketplace that allows designers and customers to create their own products with independent manufacturers (clothing, posters, etc.), as well as use images from participating companies. Zazzle has partnered with many brands to amass a collection of digital images from companies like Disney, Warner Brothers and NCAA ...
Each vertex represents an element of the free group, and each edge represents multiplication by a or b. In mathematics, the free group F S over a given set S consists of all words that can be built from members of S, considering two words to be different unless their equality follows from the group axioms (e.g. st = suu −1 t but s ≠ t −1 ...
Website. https://www.vistaprint.com. Vistaprint is a global e-commerce company that produces physical and digital marketing products for small businesses. Vistaprint was one of the first businesses to offer its customers the capabilities of desktop publishing through the internet when it was launched in 1999.
Ab is a full subcategory of Grp, the category of all groups. The main difference between Ab and Grp is that the sum of two homomorphisms f and g between abelian groups is again a group homomorphism: The third equality requires the group to be abelian. This addition of morphism turns Ab into a preadditive category, and because the direct sum of ...
Etsy, Inc. is an American e-commerce company with an emphasis on the selling of handmade or vintage items and craft supplies. These items fall under a wide range of categories, including jewelry, bags, clothing, home décor, religious items and furniture, toys, art, as well as craft supplies and tools. Items described as vintage must be at ...
In mathematics, a product of groups usually refers to a direct product of groups, but may also mean: semidirect product. Product of group subsets. wreath product. free product. central product. Category: Mathematics disambiguation pages.
In mathematics, a free abelian group is an abelian group with a basis. Being an abelian group means that it is a set with an addition operation that is associative, commutative, and invertible. A basis, also called an integral basis, is a subset such that every element of the group can be uniquely expressed as an integer combination of finitely ...
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