A note on the Jacobson radical J(F2nD2m)

Authors

  • Yogesh Kumar Department of Mathematics, Indian Institute of Technology Delhi, India
  • R. K. Sharma Department of Mathematics, Indian Institute of Technology Delhi, India

DOI:

https://doi.org/10.3842/umzh.v76i8.7623

Keywords:

Group algebra, Jacobson Radical, Unit Group.

Abstract

UDC 512.5

The dimension of the Jacobson radical J(F2nD2m) and the algebraic structure of F2nD2k3J(F2nD2k3) are determined. Here, D2m represents the dihedral group of order 2m, F2n represents any finite field of characteristic 2, and F2nD2m represents the group algebra of the group D2m over the field F2n.

References

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Published

04.09.2024

Issue

Section

Research articles

How to Cite

Kumar, Yogesh, and R. K. Sharma. “A Note on the Jacobson Radical J(F2nD2m)”. Ukrains’kyi Matematychnyi Zhurnal, vol. 76, no. 8, Sept. 2024, pp. 1265-8, https://doi.org/10.3842/umzh.v76i8.7623.