Mislin genus

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}