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SOME“ANZAHL”THEOREMS FOR GROUPS OF PRIME-POWER ORDERS
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.
作者姓名:华罗庚  段学复
作者单位:Department of Mathematics National Tsing Hua University,Department of Mathematics National Tsing Hua University
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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