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Minimal non-group-like twisted subsets with involutions

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Abstract

A subset K of some group G is called twisted if 1 ∈ K and xy −1 x ∈ K for all x, y ∈ K. We study the finite twisted subsets with an involution which are not subgroups but whose every proper twisted subset is a subgroup. We also consider the groups generated by twisted subsets.

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References

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Authors and Affiliations

  1. Siberian Federal University, Krasnoyarsk, Russia

    A. L. Myl’nikov

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  1. A. L. Myl’nikov
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Correspondence to A. L. Myl’nikov.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 5, pp. 1093–1099, September–October, 2007.

Original Russian Text Copyright © 2007 Myl’nikov A. L.

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Myl’nikov, A.L. Minimal non-group-like twisted subsets with involutions. Sib Math J 48, 879–883 (2007). https://doi.org/10.1007/s11202-007-0090-5

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  • DOI: https://doi.org/10.1007/s11202-007-0090-5

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