极大的 a world of; enormous; galactic; immense; incomputable; infinite; maximal; maximum; measureless; mighty; swingeing; towering; tremendous a. very great in size, amount, or degree; unbounded
Theorem 2 . 5 let g be an infinite simple group that satisfies maximal condition . g is an inner - finite group and each non - trivial proper subgroup of g is abelian if and only if for each x in g , cg ( x ) is the only maximal subgroup that contain x . s * ( a * , c * ) - groups can be regarded as a generalizations of dedekind groups , since all of dedekind groups are s * ( a * , c * ) - groups 5设g是满足极大条件的无限单群,则g是内有限群,而且g的每个非平凡真子群是阿贝尔群的充分必要条件是对g的任意非平凡元x ,有c _ g ( x )是g的含x的唯一极大子群且c _ g ( x )是有限的。