Finding non-trivial elements in \(K_ 2({\mathcal O}_ F)\) for imaginary quadratic number fields \(F\)

DOI10.1016/0022-4049(92)90119-ZzbMath0776.19006MaRDI QIDQ1208193

Thom Mulders

Publication date: 16 May 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

matricesimaginary quadratic fieldsymbolsclass-groupnon-trivial elements

Mathematics Subject Classification ID

Class field theory (11R37) Symbols and arithmetic ((K)-theoretic aspects) (19F15)

Cites Work

• On the structure of the \(K_ 2\) of the ring of integers in a number field
• Generating the tame and wild kernels by Dennis-Stein symbols
• Relations between \(K_2\) and Galois cohomology
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• K-theory of finite groups and orders. Notes by E. Graham Evans
• Bounded Elementary Generation of SL n (O)
• Higher algebraic K-theory: I
• Introduction to Algebraic K-Theory. (AM-72)
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