【摘要】 当两个群G、H所含的由二元生成的子群种类全同时,称G和H是≡2等价的。本文给出了具有n元生成的正规子群构成的Sylow塔的有限群只与自身≡n等价的一个充分条件,并且由之导出有限亚循环群只与自身≡2等价的一个充分条件。更多还原

【Abstract】 Two groups G, H are said to be ≡₂ equivalent if they contain the same kind of 2—generator subgroups A sufficient Condition is obtained for a finite group with a Sylow—tower consisting of n—generator normal subgroups to be only ≡₂ equivalent to itself, and from it a sufficient condition is derived for a finite metacyclic group to be only ≡₂ equivalent to itself.更多还原