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Soluble linear groups

Published online by Cambridge University Press:  17 April 2009

M. Frick  and
M.F. Newman
M. Frick
Affiliation:
Department of Pure Mathematics, School of General Studies, Australian National University, Canberra, ACT
M.F. Newman
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra, ACT.
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Abstract

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The least upper bound for the nilpotent lengths of soluble linear groups of degree n is calculated. For each n it is , where r(n) = [log3 (2n–1)/4] and [x] is the integral part of x.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1972 , pp. 31 - 44
Copyright
Copyright © Australian Mathematical Society 1972

References

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