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On the Bol Loops

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Abstract

In the present paper, the Bol loops and related groups are studied. We suggest a universal way to construct a Bol loop and find criteria for simplicity and finiteness of such loops.

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REFERENCES

  1. V. D. Belousov, Foundations of the Theory of Semigroups and Loops [in Russian], Nauka, Moscow, 1967.

    Google Scholar 

  2. O. Loos, Symmetric Spaces. I. General Theory, W. A. Benjamin, Inc., New York-Amsterdam, 1969.

    Google Scholar 

  3. B. H. Neumann, “An essay of free products of groups with amalgamations,” Philos. Trans. Roy. Soc. London. Ser. A, 246 (1954), 503–554.

    Google Scholar 

  4. W. Magnus, A. Karrass, and D. Solitar, Combinatorial Group Theory, Second ed., Dover Publications, New York, 1976.

    Google Scholar 

  5. G. Baumslag, “On the residual finiteness of generalized free products of nilpotent groups,” Trans. Amer. Math. Soc., 106 (1963), 193–209.

    Google Scholar 

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Authors and Affiliations

  1. Ivanovo State University, Russia

    E. K. Loginov

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  1. E. K. Loginov
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Loginov, E.K. On the Bol Loops. Mathematical Notes 75, 644–651 (2004). https://doi.org/10.1023/B:MATN.0000030972.33778.35

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  • DOI: https://doi.org/10.1023/B:MATN.0000030972.33778.35

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