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On the number of isomorphism classes of transversals

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Abstract

In this paper we prove that there does not exist a subgroup H of a finite group G such that the number of isomorphism classes of normalized right transversals of H in G is four.

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Acknowledgement

The first author is supported by CSIR, Government of India.

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Authors and Affiliations

  1. Department of Mathematics, University of Allahabad, Allahabad, 211 002, India

    VIPUL KAKKAR & R P SHUKLA

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  1. VIPUL KAKKAR
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  2. R P SHUKLA
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Correspondence to VIPUL KAKKAR.

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KAKKAR, V., SHUKLA, R.P. On the number of isomorphism classes of transversals. Proc Math Sci 123, 345–359 (2013). https://doi.org/10.1007/s12044-013-0133-8

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  • DOI: https://doi.org/10.1007/s12044-013-0133-8

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