群作用与幂群

刘若慧, 张诚一. 群作用与幂群[J]. 信阳师范学院学报(自然科学版), 2001, 14(4): 388-390.

引用本文:

刘若慧, 张诚一. 群作用与幂群[J]. 信阳师范学院学报(自然科学版), 2001, 14(4): 388-390.

Group actions and powergroups[J]. Journal of Xinyang Normal University (Natural Science Edition), 2001, 14(4): 388-390.

Citation:

Group actions and powergroups[J]. Journal of Xinyang Normal University (Natural Science Edition), 2001, 14(4): 388-390.

Group actions and powergroups

摘要: 讨论了有限群上幂群的运算性质 ,通过群 G*在幂群上的作用 ,给出了非空幂子集成幂群的条件 .

Abstract: The operation properties and judgement conditions of an uniform powergroup are discussed.By the action of the group G * on a powergroup,the conditions under which non empty subset of the powerset P(G) becomes a powergroup,are given.

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