Algebraic K-theory of generalized free products and functors Nil |
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| Authors: | Pierre Vogel |
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| Affiliation: | 1. Technomathematics Group, University of Kaiserslautern, P. O. Box 3049, 67653 Kaiserslautern, Germany;2. Instituto de Matematica e Estatistica, Universidade de Saõ Paulo, Caixa Postal 66281, Saõ Paulo, CEP 05315-970, Brazil;3. Instituto de Ciências Exatas, Departamento de Matematica, UFAM, Manaus, CEP 69077-000, Brazil;1. Department of Mathematical Sciences, Faculty of Science, Yamagata University, Kojirakawa-machi 1-4-12, Yamagata 990-8560, Japan;2. Graduate School of Science and Engineering, Yamagata University, Kojirakawa-machi 1-4-12, Yamagata 990-8560, Japan;1. IMECC, UNICAMP, Sérgio Buarque de Holanda 651, 13083-859 Campinas, SP, Brazil;2. Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Via Archirafi 34, 90123, Palermo, Italy;1. Department of Mathematics, Northeastern University, Boston, MA 02115, USA;2. Departamento de Matemática, Escola de Ciências e Tecnologia, Centro de Investigação em Matemática e Aplicações, Instituto de Investigação e Formação Avançada, Universidade de Évora, Rua Romão Ramalho, 59, P-7000-671 Évora, Portugal |
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| Abstract: | In this paper, we extend Waldhausen's results on algebraic K-theory of generalized free products in a more general setting and we give some properties of the Nil functors. As a consequence, we get new groups with trivial Whitehead groups. |
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| Keywords: | Algebraic K-theory Functor Nil Whitehead groups |
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