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

Abstract

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

15 pages, 2 tables

References in corpus (1)

• Involutions on Incidence Algebras of Finite Posets

Cited by in corpus (2)

• Counting Elements on Full Matrix Groups over Finite Field with Prescribed Eigenvalues
• How to construct a upper triangular matrix that satisfy the quadratic polynomial equation with different roots