SOME“ANZAHL”THEOREMS FOR GROUPS OF PRIME-POWER ORDERS |
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引用本文: | 华罗庚,段学复.SOME“ANZAHL”THEOREMS FOR GROUPS OF PRIME-POWER ORDERS[J].数学学报,1937,2(2):313-319. |
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作者姓名: | 华罗庚 段学复 |
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作者单位: | Department of Mathematics National Tsing Hua University,Department of Mathematics National Tsing Hua University |
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摘 要: | <正> In the theory of p-groups,or groups whose orders are powers ofa prime p,there are a number of the so-called“Anzahl”theoremswhich relate to the number of sub-groups with a certain property.Weshall define a group(?)of order p~n as of rank δ,if the highest order ofthe elements of (?) is equal to p~(n—δ).By means of this notion the “Anzahl”theorem due to Miller can be restated as follows:
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