Gorenstein–Walter theorem
id:
gorenstein-walter-theorem-236-3395138
title:
Gorenstein–Walter theorem
text:
In mathematics, the Gorenstein–Walter theorem, proved by Gorenstein and Walter (1965a, 1965b, 1965c), states that if a finite group G has a dihedral Sylow 2-subgroup, and O(G) is the maximal normal subgroup of odd order, then G/O(G) is isomorphic to a 2-group, or the alternating group A7, or a subgroup of PΓL2(q) containing PSL2(q) for q an odd prime power. Note that A5 ≈ PSL2(4) ≈ PSL2(5) and A6 ≈ PSL2(9).
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Gorenstein%E2%80%93Walter_theorem
date created:
date modified:
2022-06-11T23:58:22Z
main entity:
{"identifier":"Q5586176","url":"https://www.wikidata.org/entity/Q5586176"}
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