Some Observations Regarding the Holomorphs of Finite Abelian Groups

Details Some Observations Regarding the Holomorphs of Finite Abelian Groups Some Observations Regarding the Holomorphs of Finite Abelian Groups

2006-09-20

arxiv.org/abs/math/0609571v1

Mathematics

Group Theory

Scientific paper

Presentations for the holomorphs of abelian groups of the form $C_{p^n}
\times 1^{m}$ for $p$=2 or an odd prime are given. These presentations extend
the results given in Burnside's well-known text on finite groups on the
holomorphs for the cyclic groups of orders $p^n$ for $p$ being an odd or even
prime.

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