Coprime subdegrees of twisted wreath permutation groups
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DOI: 10.1017/s0013091519000130
Abstract: Abstract Dolfi, Guralnick, Praeger and Spiga asked whether there exist infinitely many primitive groups of twisted wreath type with non-trivial coprime subdegrees. Here, we settle this question in the affirmative. We construct infinite families of… read more here.
Keywords: twisted wreath; non trivial; permutation; trivial coprime ... See more keywords
Topologies on Smashed Twisted Wreath Products of Metagroups
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DOI: 10.3390/axioms12030240
Abstract: In this article, topologies on metagroups and quasigroups are studied. Topologies on smashed twisted wreath products of metagroups are scrutinized, which are making them topological metagroups. For this purpose, transversal sets are studied. As a… read more here.
Keywords: topologies smashed; wreath products; smashed twisted; twisted wreath ... See more keywords