Classifying 2-groups by Coclass

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

References

Publications referenced by this paper.
Showing 1-10 of 10 references

Application of computers to questions like those of Burnside, II

E.A.M.F. Newman
Internat. J. Algebra Comput • 1996
View 6 Excerpts
Highly Influenced

Isomorphism Testing for p-Groups

J. Symb. Comput. • 1994
View 5 Excerpts
Highly Influenced

The precise bound to the coclass of space groups

S. McKay
J. London Math. Soc. (2), • 1994
View 8 Excerpts
Highly Influenced

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

South Wales. Aner Shalev
Invent. Math., • 1994
View 4 Excerpts
Highly Influenced

2-groups of almost maximal class: corrigendum

Rodney James
J. Austral. Math. Soc. Ser. A, • 1983
View 6 Excerpts
Highly Influenced

On a special class of p-groups

N. Blackburn
Acta Math., • 1958
View 4 Excerpts
Highly Influenced

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

VI order.
J. London Math. Soc. (2), • 1994

Pro-p groups of finite coclass

E.I.A. Shalev
Zel’manov • 1992

Atlas of finite groups

J. H. Conway, R. T. Curtis, S. P. Norton, R.A.R.A. Parker
Clarendon Press, Oxford. MR 88g:20025 Helga Finken • 1985
View 2 Excerpts

Finite Groups II, Grundlehren Math. Wiss., 242

New York
MR 84i:20001a Rodney James • 1982

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