Some finiteness results for the group \(SK_1\) of a biquaternion algebra

DOI10.1007/BF00534887zbMath0892.16011OpenAlexW2011029583MaRDI QIDQ1908232

Jean-Louis Colliot-Thélène

Publication date: 20 March 1996

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534887

zbMATH Keywords

cohomological dimensiongroups of unitsalgebraic K-theoryreduced normstensor products of quaternion algebrashigher class field theoryfunction fields over number fieldsfunction fields over \(p\)-adic fields

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Infinite-dimensional and general division rings (16K40) Whitehead groups and (K_1) (19B99) (K)-theory of global fields (11R70) Units, groups of units (associative rings and algebras) (16U60) (K)-theory of local fields (11S70) Generalized class field theory ((K)-theoretic aspects) (19F05)

Related Items

Linear algebraic groups with good reduction, Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields, Spinor groups with good reduction

Cites Work

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