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On groups of exponent four with generators of order two

Published online by Cambridge University Press:  17 April 2009

Narain D. Gupta ,
Horace Y. Mochizuki  and
Kenneth W. Weston
Narain D. Gupta
Affiliation:
Department of Mathematics, University of Manitoba, Winnipeg, Canada;
Horace Y. Mochizuki
Affiliation:
Department of Mathematics, University of California, Santa Barbara, Santa Barbara, California, USA;
Kenneth W. Weston
Affiliation:
Department of Mathematics, University of Wisconsin-Parkside, Kenosha, Wisconsin, USA.
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The largest group of exponent 4 generated by n elements of order 2 has nilpotency class n + 1 when n ≥ 3.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 10 , Issue 1 , February 1974 , pp. 135 - 142
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Wright, C.R.B., “On groups of exponent four with generators of order two”, Pacific J. Math. 10 (1960), 1097–1105.Google Scholar