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A simple example of two p-groups with the same automorphism group

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Abstract.

It is an open problem whether there exist two different p-groups with the same automorphism group. In this paper, we give a positive answer to this problem by constructing a simple example.

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Authors and Affiliations

  1. School of Mathematical Science, Peking University, Beijing, 100871, People’s Republic of China

    Tianze Li

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  1. Tianze Li
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Correspondence to Tianze Li.

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Received: 30 September 2008

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Li, T. A simple example of two p-groups with the same automorphism group. Arch. Math. 92, 287–290 (2009). https://doi.org/10.1007/s00013-009-3038-0

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  • DOI: https://doi.org/10.1007/s00013-009-3038-0

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