Inverse homomorphisms of finite groups
-
Igor G. Shaposhnikov
Abstract
Replacing the equality in the condition of the homomorphism of a multi-based universal algebra with inequality leads to the definition of an inverse homomorphism of a multi-based universal algebra. In this paper methods for constructing nontrivial inverse homomorphisms of finite groups are studied.
Originally published in Diskretnaya Matematika (2022) 34, №3, 155–159 (in Russian).
References
[1] Gorchinskii Yu. N., “On homomorphisms of multibase universal algebras in connection with cryptographic applications”, Trudy po diskretnoy matematike, 1 (1997), 67–84 (in Russian).Search in Google Scholar
[2] Gorchinskii Yu. N., “On π-homomorphisms of finite algebras with a scheme of operators”, Discrete Math. Appl., 9:2 (1999), 167–183.Search in Google Scholar
[3] Karpunin G. A., Shaposhnikov I. G., “Crossed homomorphisms of finite algebras with a scheme of binary operators”, Discrete Math. Appl., 10:2 (2000), 183–202.Search in Google Scholar
[4] Shaposhnikov I. G., “Homomorphic relations of algebras with a scheme of operators”, Discrete Math. Appl., 14:6 (2004), 555–567.Search in Google Scholar
[5] Shaposhnikov I. G., “On congruences of finite multibasic universal algebras”, Discrete Math. Appl., 9:4 (1999), 403–418.Search in Google Scholar
[6] Cohn P. M, Universal Algebra, Harper & Row, New York, 1965, xv+333 pp.Search in Google Scholar
© 2024 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Propagation criterion for monotone Boolean functions with least vector support set of 1 or 2 elements
- On the approximation of high-order binary Markov chains by parsimonious models
- On the complexity of implementation of a system of three monomials of two variables by composition circuits
- Asymptotically sharp estimates for the area of multiplexers in the cellular circuit model
- Inverse homomorphisms of finite groups
Articles in the same Issue
- Frontmatter
- Propagation criterion for monotone Boolean functions with least vector support set of 1 or 2 elements
- On the approximation of high-order binary Markov chains by parsimonious models
- On the complexity of implementation of a system of three monomials of two variables by composition circuits
- Asymptotically sharp estimates for the area of multiplexers in the cellular circuit model
- Inverse homomorphisms of finite groups
