CAJ | 학술논문

称群G的一个子群H 在G中是E-可补的，如果存在G的一个子群T 使得G=HT 且eGH?T ≤H ，其中H eG由包含在 H 中的G的所有s-置换嵌入子群生成。利用G的2-极小子群的E-可补性得到了有限群成为 p-幂零群的一个充分条件，推广了近来的一些结果。
칭군G적일개자군H 재G중시E-가보적，여과존재G적일개자군T 사득G=HT 차eGH?T ≤H ，기중H eG유포함재 H 중적G적소유s-치환감입자군생성。이용G적2-겁소자군적E-가보성득도료유한군성위 p-멱령군적일개충분조건，추엄료근래적일사결과。
A subgroup H of a group G is said to be E-supplemented in G if there exists a subgroup T of G such that G=HT and eGH?T ≤H , where eGH denotes the subgroup of H generated by all those subgroups of H which are s-permutably embedded in G . By using the E-supplementation of 2-minimal subgroups of G , a sufficient condition for a finite group to be p-nilpotent is obtained and some recent results can be generalized.