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411 समाचार
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411 REFERENCE · Wikibooks

Abstract Algebra/Group Theory/Subgroup/Coset/Definition of a Coset

Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.

frame|h*g is in right coset Hg if h is in subgroup H of G and g is in group G. Let g be a fixed element of Group G. Let H be a subgroup of G. Left Coset of H by g is gH. Right Coset of H by g is Hg. Notice that such cosets are not necessarily subgroups of G.