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Classifying 2-groups by coclass
Author(s):
M.
F.
Newman;
E.
A.
O'Brien
Abstract | Similar articles | Additional information
Abstract:
Now that the conjectures of Leedham-Green and Newman have been proved, we probe deeper into the classification of
Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 20D15, 20-04 Retrieve articles in all Journals with MSC (1991): 20D15, 20-04
M.
F.
Newman
E.
A.
O'Brien
|
-groups using coclass. We determine the pro-
-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. 