G5096 - Algebra - Subgroups 0.0 / 5 ? MathematicsAlgebraSubgroupsUniversityNone Created by: callumdavidwattsCreated on: 03-01-17 00:15 34215 Across 1. The _____ ______ of a subgroup H of a group G are the subsets of G of the form Ha = {ha∈G : h∈H} for any a∈G (5, 6) 5. The _____ ______ of a subgroup H of a group G are the subsets of G of the form aH = {ah∈G : h∈H} for any a∈G (4, 6) Down 2. If the subgroup H does not equal G, then H is called a _____ subgroup of G (6) 3. For any subgroup H of a finite group G the order |H| of H divides the order |G| of G (9, 7) 4. A subset H of G is this if it follow the four axioms (closure, associativity, identity, inverse) and is under the same product operation as G (8)
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