Abstract
Given a normal subgroup N of a group G, a basic problem in the theory of automorphisms of groups is that of extending an automorphism of N to an automorphism of G, and the analogous one of lifting an automorphism of the quotient group G / N to an automorphism of G. A crucial role in the investigation of these problems is played by an exact sequence due to Wells [126]. In this chapter, a detailed exposition of this sequence and its role in determining conditions for extension and lifting of automorphisms is presented.
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Passi, I.B.S., Singh, M., Yadav, M.K. (2018). Fundamental Exact Sequence of Wells. In: Automorphisms of Finite Groups. Springer Monographs in Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-2895-4_2
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DOI: https://doi.org/10.1007/978-981-13-2895-4_2
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-2894-7
Online ISBN: 978-981-13-2895-4
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