Classifying 2-groups by coclass
نویسندگان
چکیده
منابع مشابه
Classifying 2-groups by Coclass
Now that the conjectures of Leedham-Green and Newman 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 t...
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It is knwon [23] that if p is odd, NpT is isomorphic to the semidirect product T oWp, and the fibration (BT )p (BNpT )p BWp has a section. The classifying spaces of NpT and other p–toral subgroups of K have been extensively used for the study of BK at the prime p, [13] etc. We note, however, that for the normalizer NT the loop space of (BNT )p need not be a p–compact toral group. In fact, if p ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1999
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-99-02124-8