Transversals in non-discrete groups
نویسندگان
چکیده
The concept of ‘topological right transversal’ is introduced to study right transversals in topological groups. Given any right quasigroup S with a Tychonoff topology T , it is proved that there exists a Hausdorff topological group in which S can be embedded algebraically and topologically as a right transversal of a subgroup (not necessarily closed). It is also proved that if a topological right transversal (S,TS,T S,◦) is such that TS = T S is a locally compact Hausdorff topology on S, then S can be embedded as a right transversal of a closed subgroup in a Hausdorff topological group which is universal in some sense.
منابع مشابه
A study of Nilpotent groups through right transversals
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