On automorphisms of split metacyclic groups |
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| Authors: | Marek Golasiński and Daciberg Lima Gon?alves |
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| Institution: | (1) Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland;(2) Department of Mathematics-IME, University of S?o Paulo, Caixa Postal 66.281-AG, Cidade de S?o Paulo, 05314-970 S?o Paulo, Brazil |
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| Abstract: | Let D(m, n; k) be the semi-direct product of two finite cyclic groups  and  , where the action is given by yxy
−1 = x
k
. In particular, this includes the dihedral groups D
2m
. We calculate the automorphism group Aut (D(m, n; k)). |
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| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 20E36 Secondary 20F28 55M35 57S17 |
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