scholarly journals Global rigidity of some abelian-by-cyclic group actions on 𝕋2

2021 ◽  
Vol 25 (6) ◽  
pp. 3133-3178
Author(s):  
Sebastian Hurtado ◽  
Jinxin Xue
Keyword(s):  
Cyclic Group ◽  
Group Actions ◽  
Global Rigidity

scholarly journals PSL(2, q) as an image of the extended modular group with applications to group actions on surfaces

1987 ◽  
Vol 30 (1) ◽  
pp. 143-151 ◽  
Author(s):  
David Singerman
Keyword(s):  
Free Product ◽  
Cyclic Group ◽  
Modular Group ◽  
Prime Power ◽  
Group Actions ◽  
Index 2 ◽  
Image Position

The modular group PSL(2, ℤ), which is isomorphic to a free product of a cyclicgroupof order 2 and a cyclic group of order 3, has many important homomorphic images. Inparticular, Macbeath [7] showed that PSL(2, q) is an image of the modular group if q ≠ 9. (Here, as usual, q is a prime power.) The extended modular group PGL(2, ℤ) contains PSL{2, ℤ) with index 2. It has a presentationthe subgroup PSL(2, ℤ) being generated by UV and VW.

Maximum orders of cyclic group actions on surfaces extending over the 3-dimensional torus

2017 ◽  
Vol 26 (06) ◽  
pp. 1742005
Author(s):  
Chao Wang ◽  
Shicheng Wang ◽  
Yimu Zhang
Keyword(s):  
Cyclic Group ◽  
Group Actions ◽  
Closed Surface ◽  
Dimensional Torus ◽  
Maximum Order ◽  
3 Dimensional

We determine the maximum order of cyclic group actions on the pair [Formula: see text] among all embeddings of closed surface [Formula: see text] into the 3-dimensional torus [Formula: see text] in the orientable category.

scholarly journals ALGEBRAIC REALIZATION FOR CYCLIC GROUP ACTIONS WITH ONE ISOTROPY TYPE

2019 ◽  
Vol 25 (2) ◽  
pp. 483-515
Author(s):  
KARL HEINZ DOVERMANN ◽  
ARTHUR G. WASSERMAN
Keyword(s):  
Cyclic Group ◽  
Group Actions ◽  
Isotropy Type

scholarly journals Permutations, isotropy and smooth cyclic group actions on definite 4–manifolds

2004 ◽  
Vol 8 (1) ◽  
pp. 475-509 ◽  
Author(s):  
Ian Hambleton ◽  
Mihail Tanase
Keyword(s):  
Cyclic Group ◽  
Group Actions

scholarly journals Enumerating quasiplatonic cyclic group actions

2013 ◽  
Vol 43 (5) ◽  
pp. 1459-1480 ◽  
Author(s):  
Robert Benim ◽  
Aaron Wootton
Keyword(s):  
Cyclic Group ◽  
Group Actions
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