Geodesic
The connective $K$-theory of the Eilenberg–MacLane space $K\!\left({\mathbb{Z}}_p,\textrm{2}\right)$
Glasgow mathematical journal, Tome 66 (2024) no. 1, pp. 188-220

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DOI

We compute $ku^*\left(K\!\left({\mathbb{Z}}_p,2\right)\right)$ and $ku_*\left(K\!\left({\mathbb{Z}}_p,2\right)\right)$, the connective $KU$-cohomology and connective $KU$-homology groups of the mod-$p$ Eilenberg–MacLane space $K\!\left({\mathbb{Z}}_p,2\right)$, using the Adams spectral sequence. We obtain a striking interaction between $h_0$-extensions and exotic extensions. The mod-$p$ connective $KU$-cohomology groups, computed elsewhere, are needed in order to establish higher differentials and exotic extensions in the integral groups.
DOI : 10.1017/S0017089523000423
Mots-clés : Adams spectral sequence, connective K-theory, Eilenberg-MacLane spaces 
Davis, Donald M.; Wilson, W. Stephen. The connective $K$-theory of the Eilenberg–MacLane space $K\!\left({\mathbb{Z}}_p,\textrm{2}\right)$. Glasgow mathematical journal, Tome 66 (2024) no. 1, pp. 188-220. doi: 10.1017/S0017089523000423
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     title = {The connective $K$-theory of the {Eilenberg{\textendash}MacLane} space $K\!\left({\mathbb{Z}}_p,\textrm{2}\right)$},
     journal = {Glasgow mathematical journal},
     pages = {188--220},
     year = {2024},
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     doi = {10.1017/S0017089523000423},
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