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Research Articles

A note on one decomposition of the 2-primary part of K2(ℤ[Cp × (C2)n])

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Pages 2437-2445 | Received 16 May 2023, Accepted 15 Dec 2023, Published online: 13 Jan 2024

References

  • Aisbett, J., Snaith, V. (1987). K3 of truncated polynomial rings over fields of characteristic two. Math. Proc. Cambridge Philos. Soc. 101(3):509–521.
  • Alperin, R. C., Dennis, R. K., Oliver, R., Stein, M. R. (1987). SK1 of finite abelian groups. II. Invent. Math. 87(2): 253–302.
  • Dennis, R. K., Keating, M. E., Stein, M. R. (1976). Lower bounds for the order of K2(ZG) and Wh2(G). Math. Ann. 223(2):97–103.
  • Dennis, R. K., Stein, M. R. (1975). K2 of discrete valuation rings. Adv. Math. 18(2):182–238.
  • Dunwoody, M. J. (1975). K2 (Zπ) for π a group of order two or three. J. London Math. Soc. 2(4):481–490.
  • Guin-Waléry, D., Loday, J.-L. (1981). Obstruction à l’excision en K-théorie algébrique. In: Algebraic K-Theory Evanston 1980. Berlin: Springer, 179–216.
  • Keune, F. (1978). The relativization of K2. J. Algebra 54(1):159–177.
  • Keune, F. (1981). Doubly relative K-theory and the relative K3. J. Pure Appl. Algebra 20(1):39–53.
  • Kuku, A. (2016). Representation Theory and Higher Algebraic K-theory. Boca Raton, FL: CRC Press.
  • Laubenbacher, R. C., Magurn, B. A. (1992). SK2 and K3 of dihedral groups. Can. J. Math. 44(3):591–623.
  • Loday, J.-L. (1981). On the boundary map K3(Λ/I)→K2(Λ,I). In: Algebraic K-Theory Evanston 1980. Berlin: Springer, 262–268.
  • Maazen, H., Stienstra, J. (1977). A presentation for K2 of split radical pairs. J. Pure Appl. Algebra 10(3):271–294.
  • Muzere, M. (1991). On a question posed by C. Weibel on surjectivity in algebraic K-theory. J. Algebra 140(1): 113–115. DOI: 10.1016/0021-8693(91)90147-Z.
  • Oliver, R. (1987). K2 of p-adic group rings of abelian p-groups. Math. Z. 195(4):505–558.
  • Østvaer, P. A. (1999). Calculation of two-primary algebraic K-theory of some group rings. K-theory 16(4):391–397. DOI: 10.1023/A:1007703809575.
  • Quillen, D. (1972). On the cohomology and K-theory of the general linear groups over a finite field. Ann. Math. 96(3):552–586. DOI: 10.2307/1970825.
  • Stein, M. R. (1980). Excision and K2 of group rings. J. Pure Appl. Algebra 18(2):213–224.
  • Stein, M. R. (1981). Maps of rings which induce surjections on K3. J. Pure Appl. Algebra 21(1):23–49.
  • Stienstra, J. (1981). On K2 and K3 of truncated polynomial rings. In: Algebraic K-Theory Evanston 1980. Berlin: Springer, 409–455.
  • Yang, Z., Tang, G., Liu, H. (2017). On the structure of K2 (Z[C2×C2]). J. Pure Appl. Algebra 221(4):773–779.
  • Zhang, H., Tang, G. (2019). On the K-groups of cyclic group algebras over finite fields. Adv. Math. (China) 48(2):191.
  • Zhang, L., Xu, K., Dai, Z., Sun, C. (2021). The shortest vector problem and tame kernels of cyclotomic fields. J. Number Theory 227:308–329. DOI: 10.1016/j.jnt.2021.03.022.
  • Zhang, Y., Tang, G. (2019). On the structures of K2(Z[C6]) and K2(Z[C10]). Adv. Math. (China) 48(6):757–760.
  • Zhang, Y., Tang, G., Chen, H. (2019). On the structures of K2(Z[G]), G a finite abelian p-group. Algebra Colloq. 26(1):105–112.

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