Let A and G be finite groups and suppose that A acts coprimely on G. Several results on the A-invariant character theory of G lead us to study those groups G having a unique A-invariant Sylow p-subgroup for every prime divisor p of | G |. In certain sense, the A-structure of these groups is similar to the structure of nilpotent groups.
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机译：设A和G为有限组，并假设A对G起主要作用。关于G的A不变性理论的一些结果使我们研究了G的每个素因数p都有唯一的A不变Sylow p子群的群。 | G |。从某种意义上说，这些基团的A结构类似于幂等基团的结构。
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