CLASSIFYING 2-GROUPS BY COCLASS
CLASSIFYING 2-GROUPS BY COCLASS
复制标题
按 COCLASS 对 2 组进行分类
DOI：
10.1090/s0002-9947-99-02124-8
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发表时间：
1999
影响因子：
1.3
通讯作者：
E. O'Brien
中科院分区：
文献类型：
--
作者：
M. Newman;E. O'Brien
既然Leedham-Green和Newrnan的猜想已经被证明，我们就用协类对p群的分类进行更深入的探讨。我们确定了最多3个协类的前2群，并用它们将最多3个协类的2群划分为族。利用大量的计算证据，我们对这些家庭的结构做出了一些详细的推测。我们还推测任意固定协类的两组表现出相似的行为。
Now that the conjectures of Leedham-Green and Newrnan have been proved, we probe deeper into the classification of p-groups using coclass. We determine the pro-2-groups of coclass at most 3 and use these to classify the 2-groups of coclass at most 3 into families. Using extensive computational evidence, we make some detailed conjectures about the structure of these families. We also conjecture that the 2-groups of arbitrary fixed coclass exhibit similar behaviour.