On the Completion of Pro-$\mathcal{P}$ Groups
DOI:
https://doi.org/10.5644/SJM.05.2.02Keywords:
Topological group, filter base, inverse limit, profinite group, completion of a group, pro-$\mathcal{P}$ group, paragraded groupAbstract
We examine the class of finite paragraded groups which we will denote by $\mathcal{P}.$ After observing that the class $\mathcal{P}$ is closed with respect to subgroups and direct products (\cite{7}), we define the notion of a pro-$\mathcal{P}$ group and consider the completion of such a group.
2000 Mathematics Subject Classification. 08A05, 16W50, 20L05, 20E18, 20-99
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