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13.
Groups of prime power order and their nonabelian tensor squares
Moravec, Primož
Dokažemo, da je nekomutativni tenzorski kvadrat močne ▫$p$▫-grupe spet močna ▫$p$▫-grupa. Če je grupa $G$ močna, potem pokažemo, da eksponent grupe ▫$G \otimes G$▫ deli eksponent grupe ▫$G$▫. ...Izpeljemo nove ocene za eksponent, rang in moč raznih homoloških funktorjev končnih ▫$p$▫-grup. V posebnem izboljšamo oceno za moč Schurovega multiplikatorja ▫$p$▫-grupe, ki sta jo dokazala Lubotzky in Mann.
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