Length of the Group Algebra of the Direct Product of a Cyclic Group and a Cyclic P-Group in the Modular Case

DOI10.1007/S10958-024-07105-0MaRDI QIDQ6493791

M. A. Khrystik

Publication date: 29 April 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

Basic linear algebra (15Axx) Representation theory of groups (20Cxx) Associative rings and algebras arising under various constructions (16Sxx)

Cites Work

• An upper bound for the length of a finite-dimensional algebra
• Length of the group algebra of the dihedral group of order \(2^k\)
• An application of the Cayley-Hamilton theorem to matrix polynomials in several variables
• On the length of the group algebra of the dihedral group in the semi-simple case
• On the lengths of group algebras of finite abelian groups in the semi-simple case
• On the lengths of group algebras of finite abelian groups in the modular case

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