Some combinatorial and algebraic structures in the discrete and finite Heisenberg groups

• Main Author: Manalang, Rodman Flores
• Format: text
• Language: English
• Published: Animo Repository 2018
• Subjects: Ordered algebraic structures; Algebra; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/etd_doctoral/555
• Institution: De La Salle University

The discrete Heisenberg group, H(Z), is the set of all 3×3 upper triangular matrices whose diagonal entries are all 1 and whose entries above the diagonal are integers under matrix multiplication. Whereas for a positive integer n ≥ 2, the finite Heisenberg group, Hn, is the set of all 3×3 upper...