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The join of several subnormal subgroups

Published online by Cambridge University Press:  24 October 2008

J. P. Williams
J. P. Williams
Affiliation:
Trinity College, Cambridge
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Extract

In (2) Lennox and Stonehewer proved: Let G be a group with subnormal subgroups H and K, and let J = 〈H, K〉. Suppose that J/J′ has finite rank. Then

(i) given positive integers a and b, there exists c such that γc(J) ≤ γa(H). γb(K) and

(ii) J is subnormal in G.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 92 , Issue 3 , November 1982 , pp. 391 - 399
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

REFERENCES

(1)Lennox, J. C., Segal, D. and Stonehewer, S. E.The lower central series of a join of subnormal subgroups. Math. Z. 154 (1977), 85–89.Google Scholar
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