Transversals in non-discrete groups

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dc.creatorLal, Ramji
dc.creatorShukla, R P
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:55:14Z
dc.date.available2026-07-07T06:55:14Z
dc.descriptionThe 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 $(S, T_{S}, T^{S}, \circ)$ is such that $T_{S} = T^{S}$ 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.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0512316
dc.identifierhttp://arxiv.org/abs/math/0512316
dc.identifierProc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 429-435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106219
dc.subjectGroup Theory
dc.subject20N05; 22A30; 22C05; 22D45
dc.titleTransversals in non-discrete groups
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