Abstract:The proofs for abelian p-groups with nice composition series to be simply presented are all indirect and not easy. In this paper we give a direct proof for countable case, from which one may see clearly the relation between the structures of these two classes of groups. The method used here is to constitute a p-basis for countable abolian p-groups with nice composition series. Lemma 2 and 3 are important.
收稿日期: 1988-01-25
引用本文:
凌锦华. 具有良子群合成列的可数阿贝尔p-群是简单表示p-群的直接证明[J]. , 1988, 27(1): 0-0.
凌锦华. A DIRECT PROOF FOR COUNTABLE ABELIAN p-GROUPS WITH NICE COMPOSITION SERIES TO BE SIMPLY PRESENTED. , 1988, 27(1): 0-0.