Stable cohomology of alternating groups |
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Authors: | Fedor Bogomolov Christian Böhning |
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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
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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. |
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