【摘要】 本文讨论了形如H=<a,b|a~n=b~m=1,(n,m)=1,(γ,m/γ)=1(其中γ为r模n之指数)>的亚循环群的≡2等价问题,证明了与H≡2等价的局部有限群在同构意义下只有H自己。更多还原

【Abstract】 This paper discussed the ≡₂ equivalent problem for the metacyclic groups such as H=<a, b|aⁿ =b^m=1, bab^-1=a^γ, （n, m）= 1, （γ,m/γ）=1 （here γ is the exponent of γ modulo n）>。 It was proved that in the sense of isomorphism the finitely generated group which is ≡₂ equivalent to H is only H itself.更多还原