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On the autocommutator subgroup and absolute centre of a group
Dietrich, Heiko ; Moravec, Primož
V članku dokažemo, da če je kvocient grupe po absolutnem centru lokalno končna grupa eksponenta ▫$n$▫, potem je eksponent njene avtokomutatorske podgrupe omejen v odvisnosti od ▫$n$▫. Če je še grupa ...sama lokalno končna, potem je tudi njen eksponent omejen v odvisnosti od ▫$n$▫. Pod šibkimi dodatnimi predpostavkami je eksponent grupe avtomorfizmov prav tako omejen v odvisnosti od ▫$n$▫. V članku določimo tudi absolutni center in avtokomutatorsko podgrupo za velik razred (neskončnih) Abelovih grup.
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