Auto-fixed subgroups
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Abstract (EN)
Let Fn be a free group generated by a finite set X. It has been investigated that subgroups of Fn fixed by subset S of some particular subgroups of Fn and it has defined auto-fixed, endo-fixed, mono-fixed, 1-auto-fixed, 1-endo-fixed and 1-mono-fixed subgroups of Fn: Taking into consideration this definiation, it has observed that these subgroups of Fn have the rank at most n and it has defined that maximum-rank fixed subgroups of Fn: Besides, it has been investigated that the relation between free factors of 1-auto-fixed subgroups of Fn and auto-fixed subgroups of Fn: In addition to the investigation in the free groups, it has studied that the determination of the dimension of the fixed-point subspace of a free Lie algebra L over a field of characteristic 2.
Author
Nuray Tomak
How to Cite
Nuray Tomak (Master Thesis). Auto-fixed subgroups, 2007, Çukurova University.
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