Skip to main content
Log in

Units of Group Algebras of Non-Abelian Groups of Order 16 and Exponent 4 over \({\mathbb{F}_{2^k}}\)

  • Published:
Results in Mathematics Aims and scope Submit manuscript

Abstract

The Structure of the Unit Group of the Group Algebra of the groups \({C_4 \rtimes C_4}\) and G 4,4 over any field of characteristic 2 is established.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bovdi A., Erdei L.: Unitary units in modular group algebras of 2-groups. Comm. Algebra 28(2), 625–630 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bovdi A.A., Sakach A.A.: The unitary subgroup of the multiplicative group of the modular group algebra of a finite abelian p-group. Mat. Zametki 45(6), 23–29 (1989)

    MathSciNet  MATH  Google Scholar 

  3. Bovdi V., Kovács L.G.: Unitary units in modular group algebra. Manuscripta Math. 84(1), 57–72 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  4. Bovdi V., Rosa A.L.: On the order of the unitary subgroup of a modular group algebra. Comm. Algebra 28(4), 1897–1905 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  5. Creedon, L., Gildea, J.: The structure of the unit group of the group algebra \({{\mathbb{F}}_{2^k}D_8}\). Canad. Math. Bull., Published electronically on August 26 (2010). doi:10.4153/CMB-2010-098-5

  6. Creedon L., Gildea J.: Unitary units of the group algebra \({{\mathbb{F}}_{2^k}Q_8}\). Int. J. Algebra Comput. 19(2), 283–286 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  7. Davis, P.J.: Circulant Matrices. A Wiley-Interscience Publication, Pure and Applied Mathematics, xv+250pp. John Wiley, New York (1979). ISBN 0-471-05771-1

  8. Hurley T.: Group rings and rings of matrices. Int. J. Pure Appl. Math. 31(3), 319–335 (2006)

    MathSciNet  MATH  Google Scholar 

  9. Sandling R.: Units in the modular group algebra of a finite abelian p-group. J. Pure Appl. Algebra 33(3), 337–346 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  10. Sandling R.: Presentations for unit groups of modular group algebras of groups of order 16. Math. Comp. 59, 689–701 (1992)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Joe Gildea.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gildea, J. Units of Group Algebras of Non-Abelian Groups of Order 16 and Exponent 4 over \({\mathbb{F}_{2^k}}\) . Results. Math. 61, 245–254 (2012). https://doi.org/10.1007/s00025-011-0094-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00025-011-0094-0

Mathematics Subject Classification (2010)

Keywords

Navigation