Abstract
The Mathieu groups are five remarkable simple groups discovered by E. Mathieu in 1861 and 1873; they belong to no infinite family of simple groups, as do all the simple groups we have so far exhibited, and they arc the first examples of what arc nowadays called sporadic simple groups. This chapter is devoted to proving their existence and displaying some of their interesting properties.
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© 1995 Springer-Verlag New York, Inc.
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Rotman, J.J. (1995). Permutations and the Mathieu Groups. In: An Introduction to the Theory of Groups. Graduate Texts in Mathematics, vol 148. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4176-8_9
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DOI: https://doi.org/10.1007/978-1-4612-4176-8_9
Publisher Name: Springer, New York, NY
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