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Subgroups of Central Separable Algebras

Published online by Cambridge University Press:  20 November 2018

E. D. Elgethun
E. D. Elgethun*
Affiliation:
Colorado State University, Fort Collins, Colorado; University of North Florida, Jacksonville, Florida
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In [8] I. N. Herstein conjectured that all the finite odd order sub-groups of the multiplicative group in a division ring are cyclic. This conjecture was proved false in general by S. A. Amitsur in [1]. In his paper Amitsur classifies all finite groups which can appear as a multiplicative subgroup of a division ring. Let D be a division ring with prime field k and let G be a finite group isomorphic to a multiplicative subgroup of D.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 4 , August 1973 , pp. 881 - 887
Copyright
Copyright © Canadian Mathematical Society 1973

References

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