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Autoclinisms and automorphisms of finite groups II

Published online by Cambridge University Press:  18 May 2009

Jürgen Tappe
Jürgen Tappe
Affiliation:
Lehrstuhl B für Mathematik, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany
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In part I of this paper P. Hall's formula for finite stem groups was derived. Using results of C. R. Leedham-Green and S. McKay, a similar formula for isoclinic groups with arbitrary branch factor group is shown.

The main result of this paper is the following theorem, which appears without proof in [1, p. 203].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 21 , Issue 2 , July 1980 , pp. 205 - 207
Copyright
Copyright © Glasgow Mathematical Journal Trust 1980

References

REFERENCES

1.Hall, P., On groups of automorphisms, J. Reine Angew. Math. 182 (1940), 194–204.Google Scholar
2.Leedham-Green, C. R. and McKay, S., Baer invariants, isologism, varietal laws and homology, Ada Math. 137 (1976), 99–150.Google Scholar
3.Reimers, R. and Tappe, J., Autoclinisms and automorphisms of finite groups, Bull. Austral. Math. Soc. 13 (1975), 439–449.CrossRefGoogle Scholar