The automorphism groups of the groups of orders $16p$ and $16p^2$

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dc.creatorBecker, Elaine W.
dc.creatorBecker, Walter
dc.date2007-11-15
dc.date.accessioned2026-07-07T08:43:09Z
dc.date.available2026-07-07T08:43:09Z
dc.descriptionResults of the computation of the automorphism groups for the groups of orders $16p$ and $16p^{2}$ are given. In some cases it has not been possible to give as complete a set of results as was done previously for the case of groups of order $8p^2$. Problems arise for those groups of the form ($C_{p} \times C_{p}$) @ $\G$[16] that occur in the orders $p\equiv 1$ mod(8) and $p\equiv 7$ mod(8), where $G$[16] means any group of order 16. The groups $G$[16] in question are $C_{16}$, $D_{8}$, $QD_{8}$, and $Q_{4}$. For the other cases, explicit presentations are presented for the automorphism groups of the groups of orders 16$p$ and 16$p^2$.
dc.description56 pages
dc.identifierhttps://arxiv.org/abs/0711.2468
dc.identifierhttp://arxiv.org/abs/0711.2468
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142215
dc.subjectGroup Theory
dc.titleThe automorphism groups of the groups of orders $16p$ and $16p^2$
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