Abstract
The final two applications of abstract algebra we will discuss are to cryptography, i.e., secure transmission of private information, and to the classification of geometric patterns in the plane \(\mathbb{R}^{2}\). The algebraic structure at the heart of both applications is that of a group.
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References
Herstein I (1975) Topics in algebra, 2nd edn. Wiley, Hoboken
Johnson B, Richman F (1997) Numbers and symmetry: an introduction to algebra. CRC, Boca Raton
Rotman J (1995) An introduction to the theory of groups (Graduate texts in mathematics), 4th edn. Springer, New York
Talbot J, Welsh D (2006) Complexity and cryptography: an introduction. Cambridge University Press, Cambridge
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Finston, D.R., Morandi, P.J. (2014). Groups and Cryptography. In: Abstract Algebra. Springer Undergraduate Texts in Mathematics and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-04498-9_8
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DOI: https://doi.org/10.1007/978-3-319-04498-9_8
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Publisher Name: Birkhäuser, Cham
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