Alperin–Brauer–Gorenstein theorem

id: alperin-brauer-gorenstein-theorem-309-3713224
title: Alperin–Brauer–Gorenstein theorem
text: In mathematics, the Alperin–Brauer–Gorenstein theorem characterizes the finite simple groups with quasidihedral or wreathed Sylow 2-subgroups. These are isomorphic either to three-dimensional projective special linear groups or projective special unitary groups over a finite field of odd order, depending on a certain congruence, or to the Mathieu group M 11 . Alperin, Brauer & Gorenstein (1970) proved this in the course of 261 pages. The subdivision by 2-fusion is sketched there, given as an exe
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original url: https://en.wikipedia.org/wiki/Alperin%E2%80%93Brauer%E2%80%93Gorenstein_theorem
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date modified: 2021-02-21T11:39:25Z
main entity: {"identifier":"Q4734844","url":"https://www.wikidata.org/entity/Q4734844"}
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