Coninvolutions on Upper Triangular Matrix Group over the Ring of\n Gaussian Integers and Quaternions integers modulo p

2020/08/02 by Ivan Gargate, Gargate, Ivan, Michael Gargate +1
Computer Science · Mathematics · #15B33 #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2008.00575

openalex publication_date 2020/08/02 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this article we give various formulates for compute the number of all\nconinvolutions over the group of upper triangular matrix with entries into the\nring of Gaussian integers module p and the ring of Quaternions integers\nmodule p, with p an odd prime number.\n

Citations

• Involutions in triangular groups
• Involutions on Incidence Algebras of Finite Posets

Related

• Involutions in triangular groups
• Convolution and square in abelian groups III
• Triangular involutions of the four-dimensional polynomial ring in characteristic two
• Involution matrix loci and orbit harmonics
• Involutions in Coxeter groups