Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-26T00:53:41.647Z Has data issue: false hasContentIssue false
  • English
  • Français

The exponent of certain finite p-groups

Published online by Cambridge University Press:  20 January 2009

I. O. York
I. O. York
Affiliation:
University of NottinghamUniversity ParkNottinghamNG7 2RP
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper, for R a commutative ring, with identity, of characteristic p, we look at the group G(R) of formal power series with coefficients in R, of the form

and the group operation being substitution. The results obtained give the exponent of the quotient groups Gn(R) of this group, n∈ℕ.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 3 , October 1990 , pp. 483 - 490
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

REFERENCES

1.Baker, I. N., Permutable power series and regular iteration, J. Austral. Math. Soc. 2 (1961–1962), 265–294.CrossRefGoogle Scholar
2.Jennings, S. A., Substitution groups of formal power series, Canad. J. Math. 6 (1954), 325–340.CrossRefGoogle Scholar
3.Johnson, D. L., The group of formal power series under substitution, J. Austral. Math. Soc. 45 (1988), 296–302.CrossRefGoogle Scholar