File:MinDiscriminantsCoclass2Type77Sporadic.tiff
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Summary
This diagram shows the interface between the graphs of finite 7-groups with coclass 1 and 2 and abelianization of type (7,7). Important vertices are labelled with their SmallGroups Library identifier in angle brackets. The vertices 11, 12, 846, 9, 8, 854, 15, 16 and 14 are most densely populated by second 7-class groups of complex quadratic fields with discriminant d<0. The underlined counters adjacent to the ovals surrounding these vertices give the minimal absolute discriminants of the distribution. TKT means transfer kernel type.
Own work. The distribution was computed by myself (User:DanielConstantinMayer).
There exists a similar png file with identifier MinDiscriminantsCoclass2Type77Sporadic.png which contains less information. In the present updated tiff file, User:DanielConstantinMayer added identifiers (699,701,702,708,846,854) of 7-groups of order 117649, according to the SmallGroups database.
Licensing
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I, the copyright holder of this work, hereby publish it under the following license:
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:28, 14 January 2017 |  | 1,464 × 1,205 (263 KB) | 127.0.0.1 (talk) | This diagram shows the interface between the graphs of finite 7-groups with coclass 1 and 2 and abelianization of type (7,7). Important vertices are labelled with their SmallGroups Library identifier in angle brackets. The vertices 11, 12, 846, 9, 8, 854, 15, 16 and 14 are most densely populated by second 7-class groups of complex quadratic fields with discriminant d<0. The underlined counters adjacent to the ovals surrounding these vertices give the minimal absolute discriminants of the distribution. TKT means transfer kernel type. <p>Own work. The distribution was computed by myself (User:DanielConstantinMayer). </p> <p>There exists a similar png file with identifier MinDiscriminantsCoclass2Type77Sporadic.png which contains less information. In the present updated tiff file, </p> User:DanielConstantinMayer added identifiers (699,701,702,708,846,854) of 7-groups of order 117649, according to the SmallGroups database. |
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