ON THE ORDERS OF GENERATORS OF CAPABLE p-GROUPS

نویسنده

  • ARTURO MAGIDIN
چکیده

A group is called capable if it is a central factor group. For each prime p and positive integer c, we prove the existence of a capable p-group of class c minimally generated by an element of order p and an element of order p 1+⌊ c−1 p−1 ⌋ . This is best possible.

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تاریخ انتشار 2004