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A question of C. R. Hobby on regular p-groups

Published online by Cambridge University Press:  20 January 2009

I. D. Macdonald
I. D. Macdonald
Affiliation:
Department of Mathematics, The University of Stirling, Stirling, Scotland
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In (2) a finite p-group G is said to be nearly regular if it has the following two properties:

(i) There exists a central subgroup Z of order p and G/Z is regular.

(ii) If x ∈ G and y ∈ γ2(G), then gp{x, y} is regular.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , Issue 3 , June 1973 , pp. 207 - 208
Copyright
Copyright © Edinburgh Mathematical Society 1973

References

REFERENCES

(1) Brisley, Warren and Macdonald, I. D., Two classes of metabelian p-groups, Math. Z. 112 (1969), 5–12.CrossRefGoogle Scholar
(2) Hobby, C. R., Nearly regular p-groups, Canad. J. Math. 19 (1967), 520–522.CrossRefGoogle Scholar
(3) Macdonald, I. D., The Hughes problem and others, J. Austral. Math. Soc. 10 (1969), 475–479.CrossRefGoogle Scholar
(4) Macdonald, I. D., Solution of the Hughes problem for finite P-groups of class 2P-2, Proc. Amer. Math. Soc. 27 (1971), 39–42.Google Scholar