Generators and Relations

Johnson, D. L.

doi:10.1007/978-1-4471-0243-4_5

D. L. Johnson BSc, MSc, PhD²

Part of the book series: Springer Undergraduate Mathematics Series ((SUMS))

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Abstract

Generators and relations provide an efficient means whereby a particular group may be defined or presented. We write

$$G = \left\langle X \right|\left. R \right\rangle ,$$

(5.1)

where the symbols X, R, G have the following meaning.

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Department of Mathematics, University of Nottingham, University Park, Nottingham, NG7 2RD, UK
D. L. Johnson BSc, MSc, PhD

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D. L. Johnson BSc, MSc, PhD
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Johnson, D.L. (2001). Generators and Relations. In: Symmetries. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-0243-4_5

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DOI: https://doi.org/10.1007/978-1-4471-0243-4_5
Publisher Name: Springer, London
Print ISBN: 978-1-85233-270-9
Online ISBN: 978-1-4471-0243-4
eBook Packages: Springer Book Archive

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