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Bireflectionality in Classical Groups

Published online by Cambridge University Press:  20 November 2018

Erich W. Ellers
Erich W. Ellers*
Affiliation:
University of Toronto, Toronto, Ontario
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The motion groups of the real Euclidean plane and of the elliptic plane, the group of projectivities of a line, the projective general linear group PGL2(K), some orthogonal groups O3(K, Q) with char K = 2 (see [8]), are all bireflectional (zweispiegelig). There can be no doubt that bireflectional groups are of prime importance in any theory of groups that are generated by involutions. A brief look into F. Bachmann's book [1] gives convincing evidence.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 6 , 01 December 1977 , pp. 1157 - 1162
Copyright
Copyright © Canadian Mathematical Society 1977

References

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