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The automorphism group of a split metacyclic 2-group and some groups of crossed homomorphisms

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In this paper we find the structure for the automorphism group of a split metacyclic 2-group G. It can be seen as a continuation of the paper (Curran in Arch. Math. 89 (2007), 10–23) and it makes it complete. We propose a different approach to the problem than in the paper (Curran in Arch. Math. 89 (2007), 10–23). Our intention is to show that apart from some cases of 2-groups AutG has a structure similar to that of a direct product of two groups with no common direct factor [which was considered in Bidwell, Curran, and McCaughan (Arch. Math. 86 (2006), 481–489)].

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References

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Correspondence to Izabela Malinowska.

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Malinowska, I. The automorphism group of a split metacyclic 2-group and some groups of crossed homomorphisms. Arch. Math. 93, 99–109 (2009). https://doi.org/10.1007/s00013-009-0017-4

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  • DOI: https://doi.org/10.1007/s00013-009-0017-4

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