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A note on noninner automorphisms of order $p$ for finite $p$-groups of coclass 2 (1306.2649v1)
Published 11 Jun 2013 in math.GR
Abstract: In this note, the existence of noninner automorphisms of order 2 for finite 2-groups of coclass 2 is proved. Combining our result with a recent one due to Y. Guerboussa and M. Reguiat (see arXiv:1301.0085), we prove that every finite $p$-group of coclass 2 has a noninner automorphism of order $p$ leaving the center elementwise fixed.
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