Abstract
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 that the 2-groups of arbitrary fixed coclass exhibit similar behaviour.
Original language | English |
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Pages (from-to) | 131-169 |
Number of pages | 39 |
Journal | Transactions of the American Mathematical Society |
Volume | 351 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1999 |