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Theses & Dissertations

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Atanasov, Risto

WCU

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TitleDateViewsBrief Description
Group covers with a specified pairwise intersection 2011 427 A collection of subgroups whose union is equal to the whole group is known as a group cover. Various types of group covers have been explored in recent years. In this work, we define a new type of cover, an equal L-intersection cover, which is specif...
Freedom from within : seeking generating sets for free groups 2014 6 Since the 1870's, mathematicians have had only one real tool to help identify when a group contains free subgroups: the Klein Criterion. While powerful and elegant, there are cases when this theorem does not prove helpful. In order to apply it, we ...