Peter Danchev
Abstract
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We establish some crucial properties of socle-regular groups of special type C, thus extending the fully transitive groups of type A introduced by Carroll-Goldsmith in Proc. Royal Irish Acad. - Math. (1996). We also obtain certain other critical properties of subclasses of socle-regular groups of special types D and E.
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We establish some crucial properties of socle-regular groups of special type C, thus extending the fully transitive groups of type A introduced by Carroll-Goldsmith in Proc. Royal Irish Acad. - Math. (1996). We also obtain certain other critical properties of subclasses of socle-regular groups of special types D and E.
Key concepts: Socle, Transitive relation, Mathematics, Abelian group, Type (biology), Irish, Group (periodic table), Pure mathematics