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引用次数: 0
摘要
对于奇素数p，证明了如果G 1 / 4 AB是有限p群，对于子群a和B，使得a是循环的，B是幂次的不超过p的，则kðAÞB E G，其中kðAÞ 1 / 4 hg 2 a j G k 1 / 4 1i。
On products of cyclic and abelian finite $p$-groups ($ p$ odd)
For an odd prime p, it is shown that if G 1⁄4 AB is a finite p-group, for subgroups A and B such that A is cyclic and B is abelian of exponent at most p, then kðAÞB E G, where kðAÞ 1⁄4 hg 2 A j g k 1⁄4 1i.
期刊介绍：
The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted.
The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.
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