On The Invariants of Finite Abelian Groups.

On The Invariants of Finite Abelian Groups.
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关于有限阿贝尔群的不变量。

DOI:
10.1073/pnas.37.10.672
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发表时间:
1951
影响因子:
11.1
通讯作者:
J. Douglas
J. Douglas
中科院分区:
综合性期刊1区
文献类型:
--
作者:
J. Douglas

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0-a1-cYwa,i-“i <":A1,**,00”,< i,对于i= 1,2,...,..则g= 7 r,i2... r-= p'mql.. q0m ryl. G的因式分解(1)假定是通过省略具有零指数的因子而从最后一个公式导出的。我们可以称公式(1)为“g相对于基B的因式分解”。“定理肯定的存在和证明的名称”不变量”如下。
O _-ai-cYwa, _-'i<": A,**, 0O",< i _, for i= l, 2,...,. Then g= 7r, i2... r-= Pal p'mql.. q0m ryl... ryt rhe factorization (1) ofg is supposedly derived from the last formula by omission of the factors with zero exponent. We may call formula (1)" the factorization of g relative to the basis B." The theorem affirming the existence and justifying the name of" in-variants" is the following.