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$NK_0$ and $NK_1$ of the groups $C_4$ and $D_4$. Addendum to “Lower algebraic $K$-theory of hyperbolic 3-simplex reflection groups” by J.-F. Lafont and I. J. Ortiz
Author(s) -
Charles A. Weibel
Publication year - 2009
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.4171/cmh/164
Subject(s) - addendum , mathematics , algebraic number , pure mathematics , reflection (computer programming) , combinatorics , mathematical analysis , political science , law , computer science , programming language
In this addendum to (LO) we explicitly compute the Bass Nil-groups NKi .ZŒC4/ for i D 0; 1 and NK0.ZŒD4/ . We also show that NK1.ZŒD4/ is not trivial. Here C4 denotes the cyclic group of order 4 and D4 is the dihedral group of order 8.

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