Abstract of Groups of Deficiency Zero

Mathematics Research Report CMA-MRR59-94

Groups of Deficiency Zero

G. Havas, M.F. Newman and E.A. O'Brien

Abstract: We make a systematic study of groups of deficiency zero, concentrating on groups of prime-power order. We prove that a number of p-groups have deficiency zero and give explicit balanced presentations for them. This significantly increases the number of such groups known. We describe a reasonably general computational approach which leads to these results. We also list some other finite groups of deficiency zero.

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