On the Structure of Finite Groups of Order 20pn Whose Sylow Subgroups are Cyclic
Let p be an odd prime and G be finite groups of order 20pn such that p>5.In this paper,we classify and determine the structure of G,i.e.,we show that:If p ≡ 1(mod 20),then there are 17 nonisomorphic classes;if p ≡ 3 or 7 or 19(mod 20),then 10 nonisomorphic classes;if p ≡ 9 or 13 or 17(mod 20),then 12 nonisomorphic classes;if p ≡ 11(mod 20),then 14 nonisomorphic classes.
isomorphic classificationcyclic groupstructure of groupfinite group
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