Extending free actions of finite groups on surfaces

2021 ◽  
pp. 107898
Author(s):  
Jesús Emilio Domínguez ◽  
Carlos Segovia
Keyword(s):  
Finite Groups ◽  
Free Actions

A NOTE ON FIXED-POINT-FREE ACTIONS OF FINITE GROUPS

1990 ◽  
Vol 41 (2) ◽  
pp. 127-130 ◽  
Author(s):  
S. D. BELL ◽  
B. HARTLEY
Keyword(s):  
Fixed Point ◽  
Finite Groups ◽  
Free Actions

Inequivalent, bordant group actions on a surface

1986 ◽  
Vol 99 (2) ◽  
pp. 233-238 ◽  
Author(s):  
Charles Livingston
Keyword(s):  
Fixed Point ◽  
Finite Groups ◽  
Group Actions ◽  
Free Actions ◽  
Orientable Surfaces

An action of a group, G, on a surface, F, consists of a homomorphismø: G → Homeo (F).We will restrict our discussion to finite groups acting on closed, connected, orientable surfaces, with ø(g) orientation-preserving for all g ε G. In addition we will consider only effective (ø is injective) free actions. Free means that ø(g) is fixed-point-free for all g ε G, g ≠ 1. This paper addresses the classification of such actions.

scholarly journals Classification of free actions of finite groups on the 3-torus

2002 ◽  
Vol 121 (3) ◽  
pp. 469-507 ◽  
Author(s):  
Ku Yong Ha ◽  
Jang Hyun Jo ◽  
Seung Won Kim ◽  
Jong Bum Lee
Keyword(s):  
Finite Groups ◽  
Free Actions

scholarly journals Finite groups without fixed-point-free actions on a disk.

1974 ◽  
Vol 20 (4) ◽  
pp. 349-351
Author(s):  
Richard Parris
Keyword(s):  
Fixed Point ◽  
Finite Groups ◽  
Free Actions

INFRA-ABELIAN GROUPS AND FREE ACTIONS OF FINITE GROUPS ON THE N -TORUS

2002 ◽  
Vol 30 (6) ◽  
pp. 2791-2803 ◽  
Author(s):  
Daciberg Lima Gonçalves ◽  
João Peres Vieira
Keyword(s):  
Finite Groups ◽  
Abelian Groups ◽  
Free Actions
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