Abstract
In this chapter we depart from topology for a while to discuss group theory. Our goal, of course, is to use the group theory to solve topological problems, and in the next chapter we will compute the fundamental groups of all compact surfaces, and use them to show, among other things, that the different surfaces listed in the classification theorem of Chapter 6 are not homeomorphic to each other.
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© 2011 Springer Science and Business Media, LLC
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Lee, J.M. (2011). Some Group Theory. In: Introduction to Topological Manifolds. Graduate Texts in Mathematics, vol 202. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7940-7_9
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DOI: https://doi.org/10.1007/978-1-4419-7940-7_9
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-7939-1
Online ISBN: 978-1-4419-7940-7
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