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薛琳. 初等交换p-群的堆垒性质[J]. 信阳师范学院学报(自然科学版), 2020, 33(3): 361-364. DOI: 10.3969/j.issn.1003-0972.2020.03.004
引用本文: 薛琳. 初等交换p-群的堆垒性质[J]. 信阳师范学院学报(自然科学版), 2020, 33(3): 361-364. DOI: 10.3969/j.issn.1003-0972.2020.03.004
shu
XUE Lin. An Additive Property of the Elementary Abelian p-Group[J]. Journal of Xinyang Normal University (Natural Science Edition), 2020, 33(3): 361-364. DOI: 10.3969/j.issn.1003-0972.2020.03.004
Citation: XUE Lin. An Additive Property of the Elementary Abelian p-Group[J]. Journal of Xinyang Normal University (Natural Science Edition), 2020, 33(3): 361-364. DOI: 10.3969/j.issn.1003-0972.2020.03.004
shu

初等交换p-群的堆垒性质

An Additive Property of the Elementary Abelian p-Group

    摘要
  • 摘要: 设G为有限交换群，S是G\0的一个子集.如果G的每一个元素都可以由S某个子集元素的和表示，则称S张成G，或称S构成G的堆垒基.得到了初等交换p-群Cp2的势为2p－3的子集构成堆垒基的一个充分条件.

     

    Abstract: Let G be a finite Abelian group and S a subset of G\0. It is defined that S spans G or S is an additive basis of G if every element of G can be represented as a sum of some elements of S. A sufficient condition for which subsets with cardinality 2p-3 of Cp2 can span Cp2 is obtained.

     

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