Mislin genus

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Definition

Suppose G is a finitely generated nilpotent group. The Mislin genus of G is defined as the collection of all finitely generated nilpotent groups that are in the extended Mislin genus of G.

References

Textbook references

  • More Concise Algebraic Topology: Localization, Completion and Model Categories by J. Peter May and K. Ponto. ISBN 978-0-226-51178-8, Page 145, Definition 7.5.1, Section 7.5 (The genus of abelian and nilpotent groups), More info