File:MinDiscriminantsCoclass2Type33Sporadic.tiff
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Summary
| Description |
This diagram shows the interface between the graphs of finite 3-groups with coclass 1 and 2 and abelianization of type (3,3). Important vertices are labelled with their SmallGroups Library identifier in angle brackets. The vertices 5, 7, 57 and 45 are most densely populated by second 3-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. |
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| Source |
Own work The minimal discriminants were computed in 1934 by Scholz and Taussky (d=-4027) and in 1982 by Heider and Schmithals (the other three d values). |
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| Permission (Reusing this file) |
See below. |
| Other versions | There exists a similar png file with identifier MinDiscriminantsCoclass2Type33Sporadic.png which contains less information. |
User:DanielConstantinMayer replaced the png file by a tiff file with higher resolution, thereby adding more details, and in particular, supplementing two missing groups <2187,274> and <2187,275>.
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 | |
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| current | 15:28, 14 January 2017 |  | 1,082 × 1,192 (136 KB) | 127.0.0.1 (talk) | This diagram shows the interface between the graphs of finite 3-groups with coclass 1 and 2 and abelianization of type (3,3). Important vertices are labelled with their SmallGroups Library identifier in angle brackets. The vertices 5, 7, 57 and 45 are most densely populated by second 3-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.<br> User:DanielConstantinMayer replaced the png file by a tiff file with higher resolution, thereby adding more details, and in particular, supplementing two missing groups <2187,274> and <2187,275>. |
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