Abstract
In this paper we study the existence of at least one non-inner automorphism of order p of a non-abelian finite p-group of coclass 3, for any prime \(p\ne 3\).
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Acknowledgments
The first author would like to thank the Department of Mathematics at the University of the Basque Country for its excellent hospitality while part of this paper was being written; on the other hand, the first two authors also wish to thank Professors Norberto Gavioli, Gustavo A. Fernández Alcober and Carlo Maria Scoppola for their suggestions.
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Communicated by J. S. Wilson.
Marco Ruscitti would like to thank the Department of Mathematics at the University of the Basque Country for its excellent hospitality while part of this paper was being written. Leire Legarreta is supported by the Spanish Government, Grants MTM2011-28229-C02-02 and MTM2014-53810-C2-2-P, and by the Basque Government, Grant IT753-13. Manoj K. Yadav thanks INDAM and the Department of Mathematics at the University of L’Aquila for its excellent hospitality for a month during June–July, 2015.
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Ruscitti, M., Legarreta, L. & Yadav, M.K. Non-inner automorphisms of order p in finite p-groups of coclass 3. Monatsh Math 183, 679–697 (2017). https://doi.org/10.1007/s00605-016-0938-5
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DOI: https://doi.org/10.1007/s00605-016-0938-5