110
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Negative K-Theory of Generalized Quaternion Groups and Binary Polyhedral Groups

Pages 4146-4160 | Received 23 Mar 2012, Published online: 25 Aug 2013

REFERENCES

  • Anderson , D. R. , Hsiang , W. C. ( 1977 ). The functors K −i and pseudo-isotopies of polyhedra . Ann. of Math. 105 : 201 – 223 .
  • Bass , H. ( 1968 ). Algebraic K-Theory . New York : Benjamin .
  • Bannuscher , W. , Tiedt , G. ( 1994 ). On a theorem of Deaconescu . Rostock. Math. Kolloq. 47 : 23 – 26 .
  • Broche Cristo , O. , Konovalov , A. , Olteanu , G. , Olivieri , A. , del Rio , A. ( 2009 ). Wedderga—a GAP Package 4.3.3. May 29 .
  • Carter , D. W. ( 1980 ). Localization in lower algebraic K-theory . Comm. Algebra 8 : 603 – 622 .
  • Carter , D. W. ( 1980 ). Lower K-theory of finite groups . Comm. Algebra 8 : 1927 – 1937 .
  • Curtis , C. W. , Reiner , I. ( 1990 ). Methods of Representation Theory . Vol. I . With applications to finite groups and orders . New York : John Wiley & Sons Inc. , pp. 819 .
  • Dornhoff , L. L. ( 1971 ). Group representation theory. Pure and Applied Math., M. Dekker, ISBN 0-8247-1147-5 .
  • GAP. ( 2008 ). The Gap Group. GAP–groups, algorithms, and programming, version 4.4.12, Available at http://www.gap-system.org. Accessed December 9, 2010 .
  • Higman , G. ( 1957 ). Finite groups in which every element has prime power order . J. London Math. Soc. 32 : 335 – 342 .
  • Janusz , G. J. ( 1974 ). Simple components of ℚ[SL(2, q)] . Comm. Algebra 1 : 1 – 22 .
  • Lafont , J.-F. , Magurn , B. A. , Ortiz , I. J. (2010). Lower algebraic K-theory of certain reflection groups. Math. Proc. Cambridge Philos. Soc. 148:193–226.
  • Lam , T.-Y. ( 2005 ). Introduction to quadratic forms over fields. Graduate Studies in Math. Vol. 67. American Mathematical Society .
  • Lang , S. ( 1994 ). Algebraic number theory. , 2nd ed. Graduate Texts in Math. Vol. 110 . New York : Springer-Verlag .
  • Magurn , B. ( 1978 ). SK 1 of dihedral groups . J. Algebra 51 : 399 – 415 , (correction ibid 55:545–546) .
  • Magurn , B. ( 2002 ). An Algebraic Introduction to K-Theory. New York : Cambridge University Press .
  • Oliver , R. ( 1988 ). Whitehead groups of finite groups. London Math. Soc. Lecture Note Series. Vol. 132. New York: Cambridge University Press. ISBN 0-521-33646-5
  • Pedersen , E. K. ( 1986 ). On the bounded and thin h-cobordism theorem parametrized by ℝ k . In: Transformation Groups, Poznan 1985, Lecture Notes in Math . Vol. 1217 . Berlin : Springer-Verlag , pp. 306 – 320 .
  • Reiner , I. ( 1975 ). Maximal orders . London Math. Soc. Monographs. Vol. 5 . Academic Press .
  • Serre , J.-P. ( 1979 ). Local fields (transl . by M. J. Greenberg ). Graduate Texts in Math. Vol. 67 . New York : Springer-Verlag . ISBN 0-387-90424-7 .
  • Washington , L. C. ( 1997 ). Introduction to cyclotomic fields. (2nd ed.) Graduate Texts in Math. Vol. 83 . New York : Springer-Verlag , p. 487 .
  • Communicated by S. Sehgal.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.