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Stable cohomology of alternating groups
Authors:Fedor Bogomolov  Christian Böhning
Institution:1. Courant Institute of Mathematical Sciences, 251 Mercer Str., New York, NY, 10012, USA
2. Laboratory of Algebraic Geometry, GU-HSE, 7 Vavilova Str., 117312, Moscow, Russia
3. Fachbereich Mathematik der Universit?t Hamburg, Bundesstra?e 55, 20146, Hamburg, Germany
Abstract:We determine the stable cohomology groups ( $H_S^i \left( {{{\mathfrak{A}_n ,\mathbb{Z}} \mathord{\left/ {\vphantom {{\mathfrak{A}_n ,\mathbb{Z}} {p\mathbb{Z}}}} \right. \kern-0em} {p\mathbb{Z}}}} \right)$ of the alternating groups $\mathfrak{A}_n$ for all integers n and i, and all odd primes p.
Keywords:
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