Self-homotopy-equivalences of a space with two nonvanishing homotopy groups

Tsukiyama, Kouzou

doi:10.1090/S0002-9939-1980-0560599-9

Self-homotopy-equivalences of a space with two nonvanishing homotopy groups
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Proc. Amer. Math. Soc. 79 (1980), 134-138 Request permission

Abstract:

The group ${G_\# }(X)$ is isomorphic to ${H^n}({\pi _1}(X);{\pi _n}(X))$ for the connected CW-complex X with two nonvanishing homotopy groups ${\pi _1}(X),{\pi _n}(X)$, where ${\pi _1}(X)$ acts on ${\pi _n}(X)$ usually.

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