Quasinormal subgroups have been studied for nearly 80 years. In finite groups, questions concerning them invariably reduce to p-groups, and here they have the added interest of being invariant under projectivities, unlike normal subgroups. However, it has been shown recently that certain groups, constructed by Berger and Gross in 1982, of an important universal nature with regard to the existence of core-free quasinormal subgroups generally, have remarkably few such subgroups. Therefore in...[Show more]
|Collections||ANU Research Publications|
|Source:||International Journal of Group Theory|
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