scholarly journals Periodic points of solvable group actions on 1-arcwise connected continua

2010 ◽  
Vol 157 (7) ◽  
pp. 1163-1167 ◽  
Author(s):  
Enhui Shi ◽  
Lizhen Zhou
Keyword(s):  
Solvable Group ◽  
Group Actions ◽  
Periodic Points ◽  
Arcwise Connected

scholarly journals Periodic points for amenable group actions on uniquely arcwise connected continua

2020 ◽  
pp. 1-12
Author(s):  
ENHUI SHI ◽  
XIANGDONG YE
Keyword(s):  
Periodic Point ◽  
Amenable Group ◽  
Group Actions ◽  
Periodic Points ◽  
Arcwise Connected

Abstract We show that any action of a countable amenable group on a uniquely arcwise connected continuum has a periodic point of order $\leq 2$ .

scholarly journals Topological transitivity of solvable group actions on the line R

2009 ◽  
Vol 116 (2) ◽  
pp. 203-215 ◽  
Author(s):  
Suhua Wang ◽  
Enhui Shi ◽  
Lizhen Zhou ◽  
Grant Cairns
Keyword(s):  
Solvable Group ◽  
Group Actions ◽  
Topological Transitivity

scholarly journals Measure rigidity for solvable group actions in the space of lattices

2019 ◽  
Vol 189 (3) ◽  
pp. 421-428
Author(s):  
Manfred Einsiedler ◽  
Ronggang Shi
Keyword(s):  
Solvable Group ◽  
Group Actions ◽  
Measure Rigidity

Group actions and non-vanishing elements in solvable groups

2020 ◽  
Vol 23 (6) ◽  
pp. 1103-1109
Author(s):  
Thomas R. Wolf
Keyword(s):  
Solvable Group ◽  
Group Actions ◽  
Solvable Groups ◽  
Direct Sum ◽  
Irreducible Modules ◽  
Group A ◽  
Vanishing Elements

AbstractFor a solvable group, a theorem of Gaschutz shows that {F(G)/\Phi(G)} is a direct sum of irreducible G-modules and a faithful {G/F(G)}-module. If each of these irreducible modules is primitive, we show that every non-vanishing element of G lies in {F(G)}.

scholarly journals Global rigidity of solvable group actions onS1

2004 ◽  
Vol 8 (2) ◽  
pp. 877-924 ◽  
Author(s):  
Lizzie Burslem ◽  
Amie Wilkinson
Keyword(s):  
Solvable Group ◽  
Group Actions ◽  
Global Rigidity

Generating pairs and group actions

2014 ◽  
Vol 218 (5) ◽  
pp. 777-783
Author(s):  
Darryl McCullough
Keyword(s):  
Group Actions
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