A CHARACTERIZATION OF THE UNIT GROUP IN Z[T x C-2]

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Bilgin T., Küsmüş Ö., Low R. M.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.53, no.4, pp.1105-1112, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 4
  • Publication Date: 2016
  • Doi Number: 10.4134/bkms.b150526
  • Journal Name: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1105-1112
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

Describing the group of units U(ZG) of the integral group ring SG, for a finite group G, is a classical and open problem. In this note, we show that U-1(Z[T x C-2]) similar or equal to [F-97 x F-5] x [T x C-2], where T = < a, b : a(6) = 1, a(3) = b(2), ba = a(5)b > and F-97, F-97 are free groups of ranks 97 and 5, respectively.