Permutation groups with bounded movement having maximum orbits

2012 ◽  
Vol 122 (2) ◽  
pp. 175-179
Author(s):  
MEHDI ALAEIYAN ◽  
BEHNAM RAZZAGHMANESHI
Keyword(s):  
Permutation Groups ◽  
Bounded Movement

scholarly journals On permutation groups with bounded movement

1991 ◽  
Vol 144 (2) ◽  
pp. 436-442 ◽  
Author(s):  
Cheryl E. Praeger
Keyword(s):  
Permutation Groups ◽  
Bounded Movement

scholarly journals Intransitive Permutation Groups with Bounded Movement Having Maximum Degree

2019 ◽  
Vol 16 ◽  
pp. 8272-8279
Author(s):  
Behnam Razzagh
Keyword(s):  
Positive Integer ◽  
Fixed Points ◽  
Permutation Group ◽  
Maximum Degree ◽  
Permutation Groups ◽  
Ams Classification ◽  
Bounded Movement

Let G be a permutation group on a set with no fixed points in and let m be a positive integer. If for each subset of  the size  is bounded, for , we define the movement of g as the max  over all subsets of . In this paper we classified all of permutation groups on set of size 3m + 1 with 2 orbits such that has movement m . 2000 AMS classification subjects: 20B25

scholarly journals Transitive Permutation Groups with Bounded Movement Having Maximal Degree

1999 ◽  
Vol 214 (1) ◽  
pp. 317-337 ◽  
Author(s):  
Akbar Hassani ◽  
Mehdi Khayaty ◽  
E.I Khukhro ◽  
Cheryl E Praeger
Keyword(s):  
Permutation Groups ◽  
Maximal Degree ◽  
Bounded Movement

scholarly journals Improvement on the bounds of permutation groups with bounded movement

2003 ◽  
Vol 67 (2) ◽  
pp. 249-256 ◽  
Author(s):  
Mehdi Alaeiyan
Keyword(s):  
Positive Integer ◽  
Fixed Points ◽  
Permutation Group ◽  
Infinite Family ◽  
Permutation Groups ◽  
Bounded Movement

Let G be a permutation group on a set Ω with no fixed points in Ω and let m be a positive integer. Then we define the movement of G as, m := move(G) := supΓ{|Γg \ Γ| │ g ∈ G}. Let p be a prime, p ≥ 5. If G is not a 2-group and p is the least odd prime dividing |G|, then we show that n := |Ω| ≤ 4m – p + 3.Moreover, if we suppose that the permutation group induced by G on each orbit is not a 2-group then we improve the last bound of n and for an infinite family of groups the bound is attained.

scholarly journals Transitive Permutation Groups with Bounded Movement

1994 ◽  
Vol 168 (3) ◽  
pp. 798-803 ◽  
Author(s):  
A. Gardiner ◽  
C.E. Praeger
Keyword(s):  
Permutation Groups ◽  
Bounded Movement

scholarly journals Intransitive Permutation Groups with Bounded Movement Having Maximum Degree

2019 ◽  
Vol 16 ◽  
pp. 8340-8347
Author(s):  
Behnam Razzagh
Keyword(s):  
Positive Integer ◽  
Fixed Points ◽  
Permutation Group ◽  
Maximum Degree ◽  
Permutation Groups ◽  
Ams Classification ◽  
Bounded Movement

Let G be a permutation group on a set withno fixed points in and let m be a positive integer. If for each subset T of the  size |Tg\T| is bounded, for gEG, we define the movement of g as the max|Tg\T| over all subsets T of . In this paper we classified all of permutation groups on set    of size 3m + 1 with 2 orbits such that has movement m . 2000 AMS classification subjects: 20B25

Compact cellular algebras and permutation groups

1999 ◽  
Vol 197-198 (1-3) ◽  
pp. 247-267 ◽  
Author(s):  
S Evdokimov
Keyword(s):  
Permutation Groups ◽  
Cellular Algebras
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