We classify up to topological type nonorientable bordered Klein surfaces with maximal symmetry and soluble automorphism group provided its solubility degree does not exceed 4. Using this classification we show that a soluble group of automorphisms of a nonorientable Riemann surface of algebraic genus q ≥ 2 has at most 24(q-1) elements and that this bound is sharp for infinitely many values of q.
@article{bwmeta1.element.bwnjournal-article-fmv141i3p215bwm,
author = {G. Gromadzki},
title = {On soluble groups of automorphisms of nonorientable Klein surfaces},
journal = {Fundamenta Mathematicae},
volume = {141},
year = {1992},
pages = {215-227},
zbl = {0822.20033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv141i3p215bwm}
}
Gromadzki, G. On soluble groups of automorphisms of nonorientable Klein surfaces. Fundamenta Mathematicae, Tome 141 (1992) pp. 215-227. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv141i3p215bwm/
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