# Classifying 2-groups by Coclass

@inproceedings{Newman1996Classifying2B, title={Classifying 2-groups by Coclass}, author={Mark F. Newman and Elizabeth A. O’Brien}, year={1996} }

- Published 1996

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.

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##### Publications citing this paper.

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#### References

##### Publications referenced by this paper.

Showing 1-10 of 10 references

## Application of computers to questions like those of Burnside, II

View 6 Excerpts

Highly Influenced

## Isomorphism Testing for p-Groups

View 5 Excerpts

Highly Influenced

## The precise bound to the coclass of space groups

View 8 Excerpts

Highly Influenced

## The structure of finite p-groups: effective proof of the coclass conjectures

View 4 Excerpts

Highly Influenced

## 2-groups of almost maximal class: corrigendum

View 6 Excerpts

Highly Influenced

## On a special class of p-groups

View 4 Excerpts

Highly Influenced

## A bound to the dimension of a 2-adic space group with fixed coclass

## Pro-p groups of finite coclass

## Atlas of finite groups

View 2 Excerpts