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Finiteness Properties

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A Course in the Theory of Groups

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 80))

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Abstract

A finiteness condition or property is a group-theoretical property which is possessed by all finite groups: thus it is a generalization of finiteness. This embraces an immensely wide collection of properties, numerous examples of which we have already encountered, for example, finiteness, finitely generated, the maximal condition and so on. Our purpose here is to single out for special study some of the more significant finiteness properties.

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© 1996 Springer Science+Business Media New York

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Robinson, D.J.S. (1996). Finiteness Properties. In: A Course in the Theory of Groups. Graduate Texts in Mathematics, vol 80. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8594-1_14

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  • DOI: https://doi.org/10.1007/978-1-4419-8594-1_14

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6443-9

  • Online ISBN: 978-1-4419-8594-1

  • eBook Packages: Springer Book Archive

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