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Journal of the London Mathematical Society 1991 s2-43(3):396-411; doi:10.1112/jlms/s2-43.3.396
© 1991 by London Mathematical Society
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© Oxford University Press

Homological Equivalences of Modules and Their Projective Invariants

David Holland

Department of Mathematical Sciences, University of Durham South Road, Durham DH1 3LE

This paper generalises Chinburg's construction [4, 5] of invariants in the class group of an integral group ring from two-fold extensions of (Galois) modules. The two main results are the expression of invariants of endomorphisms of a non-projective lattice over an order (which lie in the kernel group) in terms of reduced norms of local automorphisms, and the description of a coset of the Swan subgroup of the class group, which contains Chinburg's invariant {Omega}(N/K, 1) of a finite Galois extension N/K of number fields, in terms of invariants of homomorphisms.

Present address: Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada L85 4K1


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