Cyclic Groups

Dinesh Khattar () and Neha Agrawal ()
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Dinesh Khattar: University of Delhi, Department of Mathematics
Neha Agrawal: University of Delhi, Department of Mathematics

Chapter Chapter 3 in Group Theory, 2023, pp 99-118 from Springer

Abstract: Abstract In chapter one we established that the dihedral groups describe objects that have both rotational and bilateral symmetry, i.e., they look the same when flipped over in a specific direction, such as horizontally. The most basic family of groups, the cyclic groups, describe objects that have only rotational symmetry. Cyclic groups can be thought of as rotations, rotating an object a certain number of times till we eventually return to the original position. Cyclic groups have applications across a broad spectrum: in the fields of number theory, chaos theory, and cryptography, among others

Date: 2023
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DOI: 10.1007/978-3-031-21307-6_3

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