Structure of finite dihedral group algebra.

DOI10.1016/j.ffa.2015.05.002zbMath1321.20005arXiv1405.3716OpenAlexW1895237144MaRDI QIDQ492009

Fabio Enrique Brochero Martínez

Publication date: 19 August 2015

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3716

zbMATH Keywords

group algebrascentral idempotentsWedderburn decompositionsfinite dihedral groups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (12)

Concatenated structure of left dihedral codes ⋮ Construction and enumeration of left dihedral codes satisfying certain duality properties ⋮ Idempotents of generalized quaternion group algebras and their applications ⋮ A Note on Central Idempotents in Finite Group Rings of Symmetric Groups ⋮ Relationship between codes and idempotents in a dihedral group algebra ⋮ LCD codes and self-orthogonal codes in generalized dihedral group algebras ⋮ LCD codes and self-orthogonal codes in finite dihedral group algebras ⋮ Left dihedral codes over Galois rings \(\mathrm{GR}(p^2, m)\) ⋮ Unnamed Item ⋮ Left dihedral codes over finite chain rings ⋮ New \(\ast\)-clean finite group rings under the conjugate involution ⋮ Hermitian duality of left dihedral codes over finite fields

Cites Work

• Explicit idempotents of finite group algebras.
• Explicit factorization of \(x^n-1\in \mathbb {F}_q[x\)]
• Some classes of semisimple group (and loop) algebras over finite fields.
• Wedderburn decomposition of finite group algebras.
• Minimal codes of prime-power length.
• Factorization of the cyclotomic polynomial \(x^{2^n}+1\) over finite fields
• On Monomial Characters and Central Idempotents of Rational Group Algebras
• CENTRAL IDEMPOTENTS IN THE RATIONAL GROUP ALGEBRA OF A FINITE NILPOTENT GROUP
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Structure of finite dihedral group algebra.