Fixed point free action

1970 ◽  
pp. 1-13
Author(s):  
Karl W. Gruenberg
Keyword(s):  
Fixed Point ◽  
Free Action ◽  
Point Free Action

scholarly journals Fixed point free action on groups of odd order

2008 ◽  
Vol 320 (1) ◽  
pp. 426-436 ◽  
Author(s):  
Gülin Ercan ◽  
İsmail Ş. Güloğlu
Keyword(s):  
Fixed Point ◽  
Free Action ◽  
Odd Order ◽  
Point Free Action

scholarly journals Cyclic by prime fixed point free action

1997 ◽  
Vol 125 (12) ◽  
pp. 3465-3470
Author(s):  
Alexandre Turull
Keyword(s):  
Fixed Point ◽  
Free Action ◽  
Point Free Action

scholarly journals Fixed Point Free Action with Some Regular Orbits

1997 ◽  
Vol 194 (2) ◽  
pp. 362-377 ◽  
Author(s):  
Alexandre Turull
Keyword(s):  
Fixed Point ◽  
Free Action ◽  
Point Free Action

Generic fixed point free action of arbitrary finite groups

1984 ◽  
Vol 187 (4) ◽  
pp. 491-503 ◽  
Author(s):  
Alexandre Turull
Keyword(s):  
Fixed Point ◽  
Finite Groups ◽  
Free Action ◽  
Point Free Action

Fixed-point free action of an abelian group of odd non-squarefree exponent

2011 ◽  
Vol 54 (1) ◽  
pp. 77-89 ◽  
Author(s):  
Gülin Ercan ◽  
İsmail Ş. Güloğlu ◽  
Öznur Mut Sağdiçoğlu
Keyword(s):  
Fixed Point ◽  
Finite Group ◽  
Abelian Group ◽  
Solvable Group ◽  
Free Action ◽  
Finite Solvable Group ◽  
Fitting Length ◽  
Point Free Action ◽  
A Finite Group

AbstractLet A be a finite group acting fixed-point freely on a finite (solvable) group G. A longstanding conjecture is that if (|G|, |A|) = 1, then the Fitting length of G is bounded by the length of the longest chain of subgroups of A. It is expected that the conjecture is true when the coprimeness condition is replaced by the assumption that A is nilpotent. We establish the conjecture without the coprimeness condition in the case where A is an abelian group whose order is a product of three odd primes and where the Sylow 2-subgroups of G are abelian.

A GENERALIZED FIXED-POINT-FREE ACTION

2012 ◽  
Vol 12 (03) ◽  
pp. 1250172
Author(s):  
İSMAİL Ş. GÜLOĞLU ◽  
GÜLİN ERCAN
Keyword(s):  
Fixed Point ◽  
Finite Group ◽  
Solvable Group ◽  
Upper Bound ◽  
Prime Order ◽  
Free Action ◽  
Group A ◽  
Point Free Action ◽  
A Finite Group ◽  
Coprime Order

In this paper we study the structure of a finite group G admitting a solvable group A of automorphisms of coprime order so that for any x ∈ CG(A) of prime order or of order 4, every conjugate of x in G is also contained in CG(A). Under this hypothesis it is proven that the subgroup [G, A] is solvable. Also an upper bound for the nilpotent height of [G, A] in terms of the number of primes dividing the order of A is obtained in the case where A is abelian.

scholarly journals Examples of Calabi-Yau threefolds with small Hodge numbers

2021 ◽  
Vol 2081 (1) ◽  
pp. 012030
Author(s):  
A O Shishanin
Keyword(s):  
Fixed Point ◽  
Fundamental Group ◽  
Gauge Group ◽  
Complete Intersection ◽  
Euler Characteristic ◽  
Discrete Group ◽  
Free Action ◽  
Discrete Groups ◽  
Hodge Numbers ◽  
Fixed Point Sets

Abstract We observe some suitable examples of Calabi-Yau threefolds for heterotic superstring compactifications. It is reasonable to seek CY threefolds with Euler characteristic equals ±6 because of generation’s number. Hosotani mechanism for violations of the gauge group by the Wilson loops requires such CY space has a non-trivial fundamental group. These spaces can be obtained by factoring the complete intersection Calabi-Yau spaces by the free action of some discrete group. Also we shortly discuss cases when discrete groups act with fixed point sets.

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