Abstract
In this chapter we will introduce and extend concepts due to Fröhlich, the Picard group [Fr; 73], which shall help us to study automorphism groups of orders. These Picard-groups are invariant under Morita equivalence. There is a map from the automorphism group of orders to their Picard group. The kernel of this map is the group of inner automorphisms.
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© 1992 Springer Basel AG
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Roggenkamp, K.W., Taylor, M.J. (1992). Global units. In: Group Rings and Class Groups. DMV Seminar, vol 18. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8611-6_8
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DOI: https://doi.org/10.1007/978-3-0348-8611-6_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2734-7
Online ISBN: 978-3-0348-8611-6
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