About: Valentiner group

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In mathematics, the Valentiner group is the perfect triple cover of the alternating group on 6 points, and is a group of order 1080. It was found by Herman Valentiner in the form of an action of A6 on the complex projective plane, and was studied further by . All perfect alternating groups have perfect double covers. In most cases this is the universal central extension. The two exceptions are A6 (whose perfect triple cover is the Valentiner group) and A7, whose universal central extensions have centers of order 6.

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  • In mathematics, the Valentiner group is the perfect triple cover of the alternating group on 6 points, and is a group of order 1080. It was found by Herman Valentiner in the form of an action of A6 on the complex projective plane, and was studied further by . All perfect alternating groups have perfect double covers. In most cases this is the universal central extension. The two exceptions are A6 (whose perfect triple cover is the Valentiner group) and A7, whose universal central extensions have centers of order 6. (en)
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  • 1092679927 (xsd:integer)
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  • Herman Valentiner (en)
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  • 4 (xsd:integer)
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  • Herman (en)
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  • Valentiner (en)
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  • 6 (xsd:integer)
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  • 1889 (xsd:integer)
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  • In mathematics, the Valentiner group is the perfect triple cover of the alternating group on 6 points, and is a group of order 1080. It was found by Herman Valentiner in the form of an action of A6 on the complex projective plane, and was studied further by . All perfect alternating groups have perfect double covers. In most cases this is the universal central extension. The two exceptions are A6 (whose perfect triple cover is the Valentiner group) and A7, whose universal central extensions have centers of order 6. (en)
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  • Valentiner group (en)
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