The structure of irreducible matrix groups with submultiplicative spectrum
Kramar Fijavž, Marjeta
Zanima nas struktura nerazcepnih matričnih grup s submultiplikativnim spektrom. Vse takšne grupe so nilpotentne, zato se pri obravnavi omejimo na ▫$p$▫-grupe. V nerazcepmih ▫$p$▫-grupah dobimo ...bločno-monomialno obliko matrik, na podlagi katere tvorimo policiklične vrste. Podamo zgornjo mejo za eksponent takšnih grup. V primeru lihega praštevila ▫$p$▫ določimo vse minimalne nerazcepne grupe ▫$p \times p$▫ matrik. Posebej obravnavamo tudi primer matrik razsežnosti ▫$p^2 \times p^2$▫.
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