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Groups with trivial Schur multiplicator

Published online by Cambridge University Press:  09 April 2009

J. W. Wamsley
J. W. Wamsley
Affiliation:
The Flinders University of South Australia
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Let G be a finite group generated by n elements and defined by m relators, then G has a presentation where F free on generators x1, …, xn, and R is the normal closure in F of R1, …, Rm. The deficiency of this presentation is n – m and the deficiency of Gis the maximum over all presentations for G.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 4 , December 1973 , pp. 507 - 510
Copyright
Copyright © Australian Mathematical Society 1973

References

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