Let $G$ be a finite group and $H$ be a subgroup of $G$ . Let us denote $X= G/H \ast G/H \ast \cdots \ast G/H $($k$ times).Where $\ast$ denotes the topological join operation. My question are as follows:

Question: What should be a $G$-CW complex structure of $X$?

Any hint or references will be appreciated.

Thank you.

Let $G$ be a finite group and $H$ be a subgroup of $G$ . Let us denote $X= G/H \ast G/H \ast \cdots \ast G/H $($k$ times).Where $\ast$ denotes the topological join operation. My question are as follows:

Question 1: What should be a $G$-CW complex structure of $X$?

Edit Question 2 : How to calculate the integer graded Bredon cohomology of $X$ with a constant coefficient system?

Any hint or references will be appreciated.

Thank you.