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Let a be a finite abelian group, written multiplicatively. let a∈a and b be a subgroup of a such that a/b is the cyclic group generated by ab. assume that |a/b|= exp(a). prove that a=〈a〉×b.
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Let a be a finite abelian group, written multiplicatively. let a∈a and b be a subgroup of a such tha...
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