Product of group subsets

id: product-of-group-subsets-305-815841
title: Product of group subsets
text: In mathematics, one can define a product of group subsets in a natural way. If S and T are subsets of a group G, then their product is the subset of G defined by The subsets S and T need not be subgroups for this product to be well defined. The associativity of this product follows from that of the group product. The product of group subsets therefore defines a natural monoid structure on the power set of G. A lot more can be said in the case where S and T are subgroups. The product of two subgr
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original url: https://en.wikipedia.org/wiki/Product_of_group_subsets
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date modified: 2022-07-13T15:53:53Z
main entity: {"identifier":"Q338585","url":"https://www.wikidata.org/entity/Q338585"}
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