A computer aided classification of certain groups of prime power order

Author:

Ascione Judith A.,Havas George,Leedham-Green C. R.

Abstract

A classification of two-generator 3-groups of second maximal class and low order is presented. All such groups with orders up to 38 are described, and in some cases with orders up to 310. The classification is based on computer aided computations. A description of the computations and their results are presented, together with an indication of their significance.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. On a special class of p-groups

2. [5] Leedham-Green C.R. , “Three-groups of second maximal class”, in preparation.

3. [9] Shepherd Raymond T. , “p-groups of maximal class” (PhD thesis, University of Chicago, Chicago, Illinois, 1970).

4. Automorphisms of solvable groups

5. [3] Conlon S.B. , “Three-groups with cyclic centre and central quotient of maximal class”, J. Austral. Math. Soc. Ser. A (to appear).

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