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Original Articles

On Tamura’s identity yx=f(x,y) in groups

Pages 2204-2208 | Received 18 Jul 2018, Accepted 11 Sep 2018, Published online: 22 Feb 2019

References

  • Kowol, G. (1976). Conditions for the commutativity of semigroups. Proc. Amer. Math. Soc. 56(1):85–88.
  • Miller, G. A., Moreno, H. C. (1903). Non-abelian groups in which every subgroup is abelian. Trans. Amer. Math. Soc. 4(4):398–404.
  • Putcha, M. S., Weissglass, J. (1971). Semigroups satisfying variable identities. Semigroup Forum 3(1):64–67.
  • Putcha, M. S., Weissglass, J. (1972). Semigroups satisfying variable identities. II. Trans. Amer. Math. Soc. 168:113–119.
  • Robinson, D. J. S. (1996). A Course in the Theory of Groups. 2nd ed. Graduate Texts in Mathematics. New York, NY: Springer-Verlag, p. 80.
  • Stein, S. (2014). Semigroup identities and proofs. Algebra Univ. 71(4):359–373.
  • Tamura, T. (1969). Semigroups satisfying identity xy=f(x,y). Pacific J. Math. 31(2):513–521.
  • Tully, E. J. Semigroups satisfying an identity of the form xy=ymxn, unpublished manuscript.
  • Vaughan-Lee, M. (1993). The Restricted Burnside Problem. 2nd ed. New York: The Clarendon Press, Oxford University Press.

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