Isotopic classes of transversals in finite simple groups [Articol]

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Moldova State University

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Let G be a finite group and H be a subgroup of G. In this paper, we give a short proof of the main theorem of Kharvar and Shukla [6, Main Theorem]. Further, we prove that if H is a non-trivial proper subgroup of a finite non-abelian simple group G, then the number of isotopic classes of NRTs of H in G is greater than 1.

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KHARVAR, Chandan Singh and R.P.SHUKLA. Isotopic classes of transversals in finite simple groups. Quasigroups and related systems, 2026, vol.34, nr.1, pp. 131-139. ISSN 1561-2848. Disponibil: https://doi.org/10.56415/qrs.v34.10

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