科研之友
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摘要
A subgroup H of a finite group G is said to be an H-subgroup in G if N-G(H) boolean AND H-g <= H for all g is an element of G; we say that H is an HC-subgroup in G if there is a normal subgroup T of G such that G = HT and H-g boolean AND N-T(G) <= H for all g is an element of G. In this note, we obtain some interesting results by applying HC-subgroups. As applications, many known results are generalized in recent literature.
