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Non-Isomorphic Burnside Groups of Exponent p2

Published online by Cambridge University Press:  20 November 2018

K. K. Hickin  and
R. E. Phillips
K. K. Hickin
Affiliation:
Michigan Stale University, East Lansing, Michigan
R. E. Phillips
Affiliation:
Michigan Stale University, East Lansing, Michigan
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In the recent paper [8] Phillips has shown that for each prime p there are 2ℵ0 non-isomorphic 2-generatecl p-groups. This same result was obtained independently by S. Jeanes and J. S, Wilson (unpublished) who show that the groups constructed in [1] have 2ℵ0 non-isomorphic images. The groups in both of these proofs all have infinite exponent. In this paper we show that, for large enough primes p, there are 2ℵ0 non-isomorphic 2-generated groups of exponent p2.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 1 , 01 February 1978 , pp. 180 - 189
Copyright
Copyright © Canadian Mathematical Society 1978

References

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