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Word maps with small image in simple groups
Word maps with small image simple groups Group Theory
2012/6/25
We construct non-power words which have small image in SL(2; 22n) for each n. In particular, the corresponding word maps are non-surjective. We also use this to construct word maps whose values are pr...
Loop subgroups of F_r and the image of their stabilizer subgroups in GL_r(Z)
Loop subgroups of F_r image of their stabilizer subgroups
2011/1/21
For a representative class of subgroups of Fr , the image of their stabilizer subgroup under
the action of Aut(Fr ) in GLr (Z) is calculated.