论文标题
免费的$ \ z/p $ - 行为的共同体指数与加入并不是附加的
The cohomological index of free $\Z/p$-actions is not additive with respect to join
论文作者
论文摘要
令$ p $表示一个奇数。我们以例如Arxiv：1704.05827在自由$ \ z/p $ actions的联接的共同体指数中获得的行为而表明，在Arxiv：1704.05827中获得的不平等现象很清晰。也就是说，对于所有奇数整数$ k，l $至少一个大于一个，我们给出了有限的免费$ \ z/p $ -CW的示例，共同体指数$ k $ $ k $和$ l $的示例，其JOIN具有索引$ k+l+1 $，并且在JOIN具有INDEX $ k+l-1 $的情况下。
Let $p$ denote an odd prime. We show by example that the inequalities obtained in arXiv:1704.05827 for the behaviour of the cohomological index of a join of free $\Z/p$-actions are sharp. Namely, for all odd integers $k,l$ at least one of which is greater than one, we give examples of finite free $\Z/p$-CW complexes of cohomological indices $k$ and $l$ whose join has index $k+l+1$ and also examples where the join has index $k+l-1$.
