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Communications in Algebra Volume 41, 2013 - Issue 4
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Original Articles

Free and Non-Free Subgroups of the Group UT(∞, ℤ)

R. Słowik Department of Algebra, Silesian University of Technology, Gliwice, PolandCorrespondence[email protected]
Pages 1350-1364 | Received 07 Jul 2011, Published online: 02 Apr 2013

REFERENCES

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  • Hołubowski , W. ( 2003 ). The ubiquity of free subsemigroups of infinite triangular matrices . Semigroup Forum 66 : 231 – 235 .
  • Konysheva , E. N. ( 2009 ). Two-Generated Subgroups of Unitriangular Matrices. Abstracts, Students Mathematical Conference, Novosybirsk .
  • Oliǐnyk , A. S. , Sushchanskiǐ , V. I. ( 2000 ). A free group of infinite unitriangular matrices (Russian) . Mat. Zametki 67 : 320 – 324 .
  • Oliǐnyk , A. S. , Sushchanskiǐ , V. I. ( 2004 ). Representations of free products by infinite unitriangular matrices over finite fields . Internat. J. Algebra Comput. 14 : 741 – 749 .
  • Sanov , I. N. ( 1947 ). A property of a representation of a free group (Russian) . Doklady Akad. Nauk SSSR (N. S) 57 : 657 – 659 .
  • Vorobets , M. , Vorobets , Y. ( 2007 ). On a free group of transformations defined by an automaton . Geom. Dedicata 124 : 237 – 249 .
  • Wagon , S. ( 1993 ). The Banach–Tarski Paradox . Cambridge : Cambridge University Press .
  • Communicated by T. Lenagan.

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