The problem session
The problem session
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问题会话
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
N. Yagita
中科院分区：
文献类型：
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作者：
C. Broto;N. Kuhn;J. Palmieri;S. Priddy;N. Yagita
Broto，Levi和奥利弗在[1; 2]中引入了p-局部有限群的概念，作为一个以有限群的Sylow p-子群上的融合为模型的代数对象，并给它附加了一个分类空间，它是一个p-完备空间，具有与有限群的p-完备分类空间相似的性质。每一个有限群G规范地产生一个p-局部有限群，其分类空间同伦等价于BG p。但也有一些奇异的例子，即p-局部有限群不能从一个有限群以规范的方式得到，因此它的分类空间不是同伦等价于任何有限群的p-完备分类空间。
Broto, Levi and Oliver [1; 2] introduced the concept of p–local finite group as an algebraic object modeled on the fusion on the Sylow p–subgroup of a finite group, and attached to it a classifying space which is a p–complete space with properties similar to that of the p–completed classifying space of a finite group. Every finite group G gives rise canonically to a p–local finite group with classifying space homotopy equivalent to BG p . But there are also exotic examples; that is, p–local finite groups that cannot be obtained from a finite group in the canonic way and therefore its classifying space is not homotopy equivalent to the p–completed classifying space of any finite group.