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1	Applications of Lie methods to computations with polycyclic groups / Assmann, Björn. January 2007 (has links) Thesis (Ph.D.) - University of St Andrews, November 2007. Polycyclic groups. Lie algebras.
2	Problems in Lie rings and groups Groves, Daniel January 2000 (has links) We construct a Lie relator which is not an identical Lie relator. This is the first known example of a non-identical Lie relator. Next we consider the existence of torsion in outer commutator groups. Let L be a free Lie ring. Suppose that 1 < i ≤ j ≤ 2i and i ≤ k ≤ i + j + 1. We prove that L/[L<sup>j</sup>, L<sup>i</sup>, L<sup>k</sup><./em>] is torsion free. Also, we prove that if 1 < i ≤ j ≤ 2i and j ≤ k ≤ l ≤ i + j then L/[L<sup>j</sup>, L<sup>i</sup>, L<sup>k</sup>, L<sup>l</sup>] is torsion free. We then prove that the analogous groups, namely F/[γ<sub>j</sub>(F),γ<sub>i</sub>(F),γ<sub>k</sub>(F)] and F/[γ<sub>j</sub>(F),γ<sub>i</sub>(F),γ<sub>k</sub>(F),γ<sub>l</sub>(F)] (under the same conditions for i, j, k and i, j, k, l respectively), are residually nilpotent and torsion free. We prove the existence of 2-torsion in the Lie rings L/[L<sup>j</sup>, L<sup>i</sup>, L<sup>k</sup>] when 1 ≤ k < i,j ≤ 5, and thus show that our methods do not work in these cases. Finally, we consider the order of finite groups of exponent 8. For m ≥ 2, we define the function T(m,n) by T(m,1) = m and T(m,k + 1) = m<sup>T(m,k)</sup>. We prove that if G is a finite m-generator group of exponent 8 then \|G\| ≤ T(m, 7<sup>471</sup>), improving upon the best previously known bound of T(m, 8<sup>88</sup>). 510 Lie groups : Lie algebras
3	Symmetric subgroups of automorphism groups of compact simple Lie algebras / Yu, Jun. January 2009 (has links) Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2009. / Includes bibliographical references (p. 47-48). Lie groups. Lie algebras. Automorphisms.
4	Matrix coefficients and representations of real reductive groups / Sun, Binyong. January 2004 (has links) Thesis (Ph.D.)--Hong Kong University of Science and Technology, 2004. / Includes bibliographical references (leaves 75-76). Also available in electronic version. Access restricted to campus users.
5	Problems on nilpotency and local finiteness in infinite groups and infinite dimensional algebras Derakhshan, Jamshid January 1996 (has links) No description available. 510
6	Symmetry Representations in the Rigged Hilbert Space Formulation of Sujeewa Wickramasekara, sujeewa@physics.utexas.edu 14 February 2001 (has links) No description available.
7	On the Representations of Lie Groups and Lie Algebras in Rigged Hilbert Sujeewa Wickramasekara, sujeewa@physics.utexas.edu 14 February 2001 (has links) No description available.
8	Symmetry-enhancing for a thin film equation Walker, Tanya L. M. January 2008 (has links) Thesis (Ph.D.)--University of Western Sydney, 2008. / A thesis presented to the University of Western Sydney, College of Health and Science, School of Computing and Mathematics, in fulfilment of the requirements for the degree of Doctor of Philosophy - Science. Includes bibliographies.
9	Compact group actions and harmonic analysis / Chung, Kin Hoong. January 1999 (has links) Thesis (Ph. D.)--University of New South Wales, 1999. / Includes bibliographical references and index. Also available online.
10	Subgroups of the symmetric group of degree n containing an n-cycle / Charlebois, Joanne January 1900 (has links) Thesis (M.Sc.) - Carleton University, 2002. / Includes bibliographical references (p. 40-43). Also available in electronic format on the Internet.

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