Structure of finite abelian group G with automorphism group of order 24p2q2r
Let p,q,r be three pairwise distinct odd primes,and p<q<r.Let G be a finite abelian group,and A(G)the automorphism group of G.For a given finite group G,there is a unique and definite automorphism group A(G).Conversely,it is a difficult problem to determine the construction of a finite group by automorphism group.This research proved all types of finite abelian group G when the order of automorphism group is 24p2q2r.
automorphism groupfinite abelian groupEuler functionstructure of group
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