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作者：Rapinchuk, AS; Segev, Y
作者单位：University of Virginia; Ben-Gurion University of the Negev
摘要：Let D be a finite dimensional division algebra and N a subgroup of finite index in DX. A valuation-like map on N is a homomorphism psi: N --> T from N to a (not necessarily abelian) linearly ordered group T satisfying N<-alpha + 1 subset of or equal to N<-alpha for some nonnegative alpha is an element of T such that N<-alpha not equal 0 where N<-alpha = {x is an element of N / psi (x) < -alpha}. We show that this implies the existence of a nontrivial valuation v of D with respect to which N is...
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作者：Madsen, I; Tillmann, U
作者单位：Aarhus University; University of Oxford
摘要：In [T2] it was shown that the classifying space of the stable mapping class groups after plus construction Z x B Gamma (+)(infinity) has an infinite loop space structure. This result and the tools developed in [BM] to analyse transfer maps, are used here to show the following splitting theorem. Let Sigma (infinity)(CP+infinity)(p)(Lambda) similar or equal to E(0)nu (...)nuE(p-2) be the Adams-splitting of the p-completed suspension spectrum of CP+infinity. Then for some infinite loop space W-p,...
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作者：Ando, M; Hopkins, MJ; Strickland, NP
作者单位：University of Illinois System; University of Illinois Urbana-Champaign; Massachusetts Institute of Technology (MIT); University of Sheffield
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作者：Iwaniec, T; Koskela, P; Onninen, J
作者单位：Syracuse University; University of Jyvaskyla
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作者：Friedlander, EM; Walker, ME
作者单位：Northwestern University; University of Nebraska System; University of Nebraska Lincoln
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作者：Lafforgue, L
作者单位：Universite Paris Saclay
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作者：Chinta, G; Goldfeld, D
作者单位：Columbia University
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作者：Boalch, PP
作者单位：International School for Advanced Studies (SISSA)
