Abstract
A possible geometrical interpretation of transformations of an abstract register is considered. The problem of construction of finite group planes from the elements of a group of transformations of this register is investigated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
V. M. Glushkov, Cybernetics, Computer Engineering, and Informatics [in Russian], Vol. 1, 179–191, Naukova Dumka, Kiev (1990).
A. K. Belyaev, “A basic system of microoperations and its application,” Kibernetika, No. 2, 71–76 (1972).
F. Bachmann, Aufbau der Geometrie aus dem Spiegelungsbegriff [Russian translation], Nauka, Moscow (1969).
M. Hall, Group Theory [Russian translation], Inostr. Lit., Moscow (1962).
A. K. Belyaev, “Regularity of abstract-register transformations,” Kibern. Sist. Anal., No. 4, 184–187 (1998).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Belyaev, A.K. An Interpretation of a System of Abstract-Register Transformations. Cybernetics and Systems Analysis 38, 830–836 (2002). https://doi.org/10.1023/A:1022935819834
Issue Date:
DOI: https://doi.org/10.1023/A:1022935819834