Groups with incidence condition for noncyclic subgroups

We give a description of groups with incidence condition for noncyclic subgroups to within minimal noncyclic subgroups. We present a complete constructive description of locally graded groups (in particular, arbitrary locally finite groups) satisfying this condition.

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Datum:1996
Hauptverfasser: Polovitskii, Ya. D., Chernikov, N. S., Chechulin, V. L., Половицкий, Я. Д., Черников, Н. С., Чечулин, В. Л.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1996
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5316
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We give a description of groups with incidence condition for noncyclic subgroups to within minimal noncyclic subgroups. We present a complete constructive description of locally graded groups (in particular, arbitrary locally finite groups) satisfying this condition.