N-确定的2-紧群
N-determined 2-compact groups
摘要:
首先,我们制定了一个一般计划的分类的2-紧群的极大环面正规化对。应用这个方案,我们证明了所有连通和一些非连通2-紧群都是N-确定的。我们也计算自同构群在许多情况下。作为应用,我们证实了Dwyer和Wilkerson提出的分裂猜想。
英文摘要:
We first formulate a general scheme for the classification of 2-compact groups in terms of maximal torus normalizer pairs. Applying this scheme, we show that all connected and some non-connected 2-compact groups are N-determined. We also compute automorphism groups in many cases. As an application we confirm the splitting conjecture formulated by Dwyer and Wilkerson.
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