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On ǵroups consisting mostly of involutions

Published online by Cambridge University Press:  24 October 2008

C. T. C. Wall
C. T. C. Wall
Affiliation:
University of Liverpool
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Extract

The following problem arose in recent work of Stewart Robertson on finite subsets of Eucidean space admitting transitive groups of isometries (1): Determine the greatest number of involutions that can be possessed by a finite group of given order n.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 2 , March 1970 , pp. 251 - 262
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Robertson, S. A., Carter, S. and Morton, H. R. Finite orthogonal symmetry, to appear.Google Scholar
(2)Frobenius, G. and Schur, J.Uber die reellen Darstellungen der endlichen Gruppen. Sitzungsb. preuss. Akad. der Wiss (1906), 186–208.Google Scholar
(3)Isaacs, I. M. and Passman, D. S.Groups whose irreducible representations have degrees dividing pe. Illinois J. Math. 8 (1964), 446–457.CrossRefGoogle Scholar
(4)Arf, C.Untersuchungen über quadratische Formen in Körpern der Charakteristik 2. J. Reine Angew. Math. 183 (1941), 148–167.CrossRefGoogle Scholar
(5)Eckmann, B.Gruppentheoretischer Beweis des Satzes von Hurwitz–Radon über die Komposition quadratischer Formen. Comment Math. Helv. 15 (1942), 358–366.CrossRefGoogle Scholar