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The Normalizer Of Certain Modular Subgroups

Published online by Cambridge University Press:  20 November 2018

Morris Newman
Morris Newman*
Affiliation:
National Bureau of Standards, Washington
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Introduction. Let G denote the multiplicative group of matrices

where a, b, c, d are integers and ad — bc = 1. G is one of the well-known modular groups. Let G0(n) denote the subgroup of G characterized by c ≡ 0 (mod n), where n is a positive integer. In this note we determine the normalizer of G0(n) in G, denoted by .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 29 - 31
Copyright
Copyright © Canadian Mathematical Society 1956

References

1. Newman, M., Structure theorems for modular subgroups, Duke Math. J., 22 (1955), 25–32.Google Scholar