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Some Characterizations of a Normal Subgroup of a Group and Isotopic Classes of Transversals

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Publication:2822077
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DOI10.1142/S1005386716000390zbMath1366.20017OpenAlexW2460398560MaRDI QIDQ2822077

Vipul Kakkar, Ravi Prakash Shukla

Publication date: 26 September 2016

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386716000390


zbMATH Keywords

isotopyright loopnormalized right transversalright inverse property


Mathematics Subject Classification ID

General structure theorems for groups (20E34) Loops, quasigroups (20N05) Groups acting on trees (20E08)


Related Items (4)

Unnamed Item ⋮ Isotopic classes of transversals in dihedral group \(D_{2n}\), \(n\) odd ⋮ Isomorphism classes of transversals in finite nilpotent groups ⋮ Classifying gyrotransversals in groups




Cites Work

  • On the number of isomorphism classes of transversals.
  • Cycle indices of linear, affine, and projective groups
  • Transversals in groups
  • Loops with transitive automorphisms
  • Transversals in permutation groups and factorisations of complete graphs
  • Congruences in right quasigroups and general extensions
  • Perfectly stable subgroups of finite groups




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