On neighbouring matrices with quadratic elementary divisors
β Scribed by J. H. Wilkinson
- Publisher
- Springer-Verlag
- Year
- 1984
- Tongue
- English
- Weight
- 894 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
We describe a "semi-modular" algorithm which computes for a given integer matrix A of known rank and a given prime p the multiplicities of p in the factorizations of the elementary divisors of A. Here "semi-modular" means that we apply operations to the integer matrix A but the operations are driven
Let k be an imaginary quadratic number field with C k, 2 , the 2-Sylow subgroup of its ideal class group, isomorphic to ZΓ2Z\_ZΓ2Z\_ZΓ2Z. By the use of various versions of the Kuroda class number formula, we improve significantly upon our previous lower bound for |C k 1 , 2 | , the 2-class number of