We describe a nilpotent quotient algorithm for a certain type of infinite presentations: the so-called finite L-presentations. We then exhibit finite L-presentations for various interesting groups and report on the application of our nilpotent quotient algorithm to them. As result, we obtain conjectural descriptions of the lower central series structure of various interesting groups including t...

which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. World Health Organization reported there are more than 600 million elderly individuals in the world (1); a figure which will double by 2025 and will reach 2 billion people by 2050 (2,3).The immense changes in cultural, socioeconomic and demographic aspects of Iranian socie...

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n root of a Lie algebra and its dual (that is fractional supergroup ) based on the permutation group Sn invariant forms is formulated in the Hopf algebra formalism. Detailed discussion of S3-graded sl(2) algebras is done.

We introduce the h-deformation of the algebra of functions on the grass-mann supergroup Gr(1|1) via a contraction of Gr q (1|1).

We show that in the context of topological string theories N branes and M anti-branes give rise to Chern-Simons gauge theory with the gauge supergroup U (N |M). We also identify a deformation of the theory which corresponds to brane/anti-brane annihilation.