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A lower bound for the order of K2(Z[C2k×C2n])
Received date: 2013-01-11
Revised date: 2013-04-23
Online published: 2013-11-15
This paper mainly studies the SK1 and relative SK1 group of the integral group ring of Z[C2k×C2n]. A lower bound of 2-rank of K2(Z[C2k×C2n]) is given, therefore a lower bound for the order of K2(Z[C2k×C2n]) is established.
Key words： integral group ring; SK1 group; relative SK1 group; K2 group
YANG Zheng-Guo , TANG Guo-Ping . A lower bound for the order of K2(Z[C2k×C2n])[J]. Journal of University of Chinese Academy of Sciences, 2013 , 30(6) : 721 -723 . DOI: 10.7523/j.issn.2095-6134.2013.06.001
[1] Dunwoody M J. K2( Z π) for π a group of order two or three[J]. J London Math Soc, 1975,11(2):481-490.
[2] Stein M R. Excision and K2 of group rings[J]. J Pure Appl Algebra, 1980, 18:213-224.
[3] Dennis R K, Keating M E, Stein M R. Lower bounds for the order of K2( Z G) and Wh2(G)[J]. Math Ann, 1976, 223:97-103.
[4] Rosenberg J. Algebraic K-theory and its applications[M]. New York: Springer-Verlag, 1994: GTM 147.
[5] Alperin R C, Dennis R K, Oliver R, et al. SK1 of finite abelian groups[J]. Ⅱ Invent Math, 1987, 87:253-302.
[6] Gao Y B, Tang G P. K2 of finite abelian group algebras[J]. J Pure Appl Algebra, 2009, 213:1201-1207.
[7] Akhmet' ev P M. K2 for the simplest integral group rings and topological applications[J]. Sbornik:Mathematics, 2003, 194(1):21-29.
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