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13.
Schur multipliers and power endomorphisms of groups
Moravec, Primož
V članku dobimo nove zgornje meje za eksponent Schurovega multiplikatorja dane ▫$p$▫-grupe. Dokažemo, da se da ta eksponent omejiti le v odvisnosti od eksponenta dane grupe. Kot posledico dokažemo, ...da je eksponent Schurovega multiplikatorja dane grupe eksponenta 4 največ 8, in da je ta ocena najboljša možna. Poleg tega uvedemo pojem eksponentnega ranga za ▫$p$▫-grupe. Dokažemo, da je eksponentni rang močnih ▫$p$▫ grup bodisi 0 bodisi 1.
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