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Sk2 and K3 Of Dihedral Groups

Published online by Cambridge University Press:  20 November 2018

Reinhard C. Laubenbacher  and
Bruce A. Magurn
Reinhard C. Laubenbacher
Affiliation:
Department of Mathematical Sciences New Mexico State University Las Cruces, New Mexico 88003 U.S.A.
Bruce A. Magurn
Affiliation:
Department of Mathematics and Statistics Miami University Oxford, Ohio 45056 U.S.A.
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Abstract

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New computations of birelative K2 groups and recent results on K3 of rings of algebraic integers are combined in generalized Mayer-Vietoris sequences for algebraic k-theory. Upper and lower bounds for SK2(ℤ G) and lower bounds for K3(ℤ G) are deduced for G a dihedral group of square-free order, and for some other closely related groups G.

Keywords

19C4019C9919D50
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 3 , 01 June 1992 , pp. 591 - 623
Copyright
Copyright © Canadian Mathematical Society 1992

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