Direct Products

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 9 in Group Theory, 2023, pp 241-270 from Springer

Abstract: Abstract In this chapter, we observe direct product of groups, to create new groups from already existing groups. This is a simple technique to combine two groups into a new, larger group. If we understand this mechanism, we can comprehend some large groups more easily. Just as we can factor integers into prime numbers, we can break apart some groups into a direct product of simpler groups. Knowledge of direct products drives significant developments in coding theory and in cryptography.

Date: 2023
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DOI: 10.1007/978-3-031-21307-6_9

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