An infinite group is called just-infinite if all its non-trivial normal subgroups have finite index. It is proved here that if all normal subgroups of infinite rank of a radical group G have finite index, then G has finite rank.
Groups in which every normal subgroup of infinite rank has finite index / DE FALCO, Maria; DE GIOVANNI, Francesco; Musella, Carmela. - In: SOUTHEAST ASIAN BULLETIN OF MATHEMATICS. - ISSN 0129-2021. - STAMPA. - 39:(2015), pp. 195-201.
Groups in which every normal subgroup of infinite rank has finite index
DE FALCO, MARIA;DE GIOVANNI, FRANCESCO;MUSELLA, CARMELA
2015
Abstract
An infinite group is called just-infinite if all its non-trivial normal subgroups have finite index. It is proved here that if all normal subgroups of infinite rank of a radical group G have finite index, then G has finite rank.File in questo prodotto:
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