Subextensions for a permutation $\mathrm{PSL}_2(q)$-module
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 551-557

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Using cohomological methods, we solve the problem of embedding $\mathrm{SL}_2(q)$ into the permutation wreath product for the permutation $\mathrm{PSL}_2(q)$-module in characteristic $2$ that arises from the action on the projective line. We also prove some useful auxiliary results.
Keywords: finite simple groups, group cohomology.
Mots-clés : permutation module
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     author = {Andrei V. Zavarnitsine},
     title = {Subextensions for a permutation $\mathrm{PSL}_2(q)$-module},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {551--557},
     publisher = {mathdoc},
     volume = {10},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2013_10_a15/}
}
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Andrei V. Zavarnitsine. Subextensions for a permutation $\mathrm{PSL}_2(q)$-module. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 551-557. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a15/