Abstract
Many of the groups listed in Chapters 2 and 3 can be described completely without recourse to the composition algorithm. For class numbers 1, 2, and 3, only cyclic groups are possible. For class number 4, only the cyclic or Klein 4-groups are possible, and these can be distinguished by the number of ambiguous forms. Thus, the groups for discriminants −39, −55, −63, −155, −56, −68, and −80 are cyclic, while the groups of discriminants −84 and −96 are not. The structure of these groups then determines the multiplication table completely.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Buell, D.A. (1989). Miscellaneous Facts. In: Binary Quadratic Forms. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4542-1_5
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4542-1_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8870-1
Online ISBN: 978-1-4612-4542-1
eBook Packages: Springer Book Archive