Abstract
The order of a group G has consequences for its structure. A rough rule of thumb is that the more complicated the prime factorization of |G|, the more complicated the group. In particular, the fewer the number of distinct prime factors in |G|, the more tractible it is. We now study the “local” case when only one prime divides |G|.
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© 1995 Springer-Verlag New York, Inc.
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Rotman, J.J. (1995). The Sylow Theorems. 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_4
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DOI: https://doi.org/10.1007/978-1-4612-4176-8_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8686-8
Online ISBN: 978-1-4612-4176-8
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