The structure of orthogonal groups of 2-adic unimodular quadratic forms |
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Authors: | DG James |
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Institution: | Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802 USA |
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Abstract: | This paper gives some indication of the structure of the orthogonal group of a unimodular quadratic form over the 2-adic integers. Various congruence subgroups are defined and their interrelationships investigated. Figure 1 gives the lattice pattern of the subgroups considered when the rank is even. The subgroups normalized by the commutator subgroup are also determined. |
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