On Generalized Quaternions

DOI10.2307/1990162zbMath0060.11004OpenAlexW4234048306MaRDI QIDQ5834972

Gordon Pall

Publication date: 1946

Full work available at URL: https://doi.org/10.2307/1990162

zbMATH Keywords

number theory

Related Items

Generalized elliptical quaternions with some applications, One-class genera of maximal integral quadratic forms, Ergodic properties of operators on integral points of ellipsoids, Quaternion orders with good divisibility, Discriminantal divisors and binary quadratic forms, Ternary quadratic forms over number fields with small class number, Modules Over Quadratic and Quaternion Rings and Transformations of Quadratic Forms, Matrices of rational integers, Quaternions and Binary Quadratic Forms, Biquadratic Reciprocity Laws, Class number of definite quaternary forms with square discriminant, Rings of integral quaternions, On cubic rings and quaternion rings, Discriminantal divisors of binary quadratic forms, Modules and rings in the Cayley algebra, The Spinor Genus of Quaternion Orders, Representations of discriminantal divisors by binary quadratic forms, Classification of one-class spinor genera for quaternary quadratic forms, Ergodic properties of integral points on ellipsoids of genus \(G_{[\Omega,1}\)], Arithmetic of Pall orders and representation of integers by some ternary quadratic forms

Cites Work

• The classes of integral sets in a quaternion algebra
• On the factorization of generalized quaternions
• Regular and semi-regular positive ternary quadratic forms
• Table of reduced positive quaternary quadratic forms