Divisible homology classes in the special linear group of a number eld

• cours magistral - matière potentielle : notes
• cours magistral - matière potentielle : note ser

Divisible homology classes in the special linear group of a number eld Dominique Arlettaz and Piotr Zelewski Introduction Let F be a number eld and SL(F ) denote the innite special linear group over F . The integral homology groups of SL(F ) are in general not nitely generated but, it was shown by the rst author in Section 2 of [A1] that, for all integers i 0 , Hi(SL(F );Z) is the direct sum of a free abelian group of nite rank and a torsion group.

• wedge of eilenberg-maclane spectra
• iterated homology suspension
• torsion group
• nite group
• mention that the structure of the integral homology groups
• product of eilenberg
• divisible homology classes
• image
• sl
• groups