Counting the number of automorphisms of finite abelian groups

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dc.contributor.advisor Bremigan, Ralph J. en_US
dc.contributor.author Krause, Linda J. en_US
dc.date.accessioned 2011-06-03T19:36:39Z
dc.date.available 2011-06-03T19:36:39Z
dc.date.created 1994 en_US
dc.date.issued 1994
dc.identifier LD2489.Z78 1994 .K73 en_US
dc.identifier.uri http://cardinalscholar.bsu.edu/handle/handle/184924
dc.description.abstract The purpose of this paper was to find a general formula to count the number of automorphisms of any finite abelian group. These groups were separated into five different types. For each of the first three types, theorems were proven, and formulas were derived based on the theorems. A formula for the last two types of groups was derived from a theorem based on a conjecture which was proven in only one direction. Then it was shown that a count found from any of the first three formulas could also be found using the last formula. The result of these comparisons gave credence to the conjecture. Thus we found that the last formula is a general formula to count the number of automorphisms of finite abelian groups.
dc.description.sponsorship Department of Mathematical Sciences
dc.format.extent 22 leaves ; 28 cm. en_US
dc.source Virtual Press en_US
dc.subject.lcsh Abelian groups. en_US
dc.subject.lcsh Finite groups. en_US
dc.subject.lcsh Automorphisms. en_US
dc.title Counting the number of automorphisms of finite abelian groups en_US
dc.description.degree Thesis (M.S.)
dc.identifier.cardcat-url http://liblink.bsu.edu/catkey/917027 en_US


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  • Master's Theses [5256]
    Master's theses submitted to the Graduate School by Ball State University master's degree candidates in partial fulfillment of degree requirements.

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