scholarly journals Compatible pair of actions for two same cyclic groups of 2-power order

2017 ◽  
Vol 890 ◽  
pp. 012120
Author(s):  
Mohd Sham Mohamad ◽  
Sahimel Azwal Sulaiman ◽  
Yuhani Yusof ◽  
Mohammed Khalid Shahoodh
Keyword(s):  
Compatible Pair ◽  
Cyclic Groups

scholarly journals The Number of Compatible Pair of Actions for Finite Cyclic Groups of 3-Power Order

2017 ◽  
Author(s):  
Mohammed Khalid Shahoodh ◽  
Mohd Sham Mohamad ◽  
Yuhani Yusof ◽  
Sahimel Azwal Sulaiman
Keyword(s):  
Compatible Pair ◽  
Cyclic Groups

scholarly journals The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order

2017 ◽  
Author(s):  
Sahimel Azwal Sulaiman ◽  
Mohd Sham Mohamad ◽  
Yuhani Yusof ◽  
Mohammed Khalid Shahoodh
Keyword(s):  
Compatible Pair ◽  
Cyclic Groups

Compatible pair of nontrivial actions for some cyclic groups of 2-power order

2015 ◽  
Author(s):  
Sahimel Azwal Sulaiman ◽  
Mohd Sham Mohamad ◽  
Yuhani Yusof ◽  
Nor Haniza Sarmin ◽  
Nor Muhainiah Mohd Ali ◽  
...  
Keyword(s):  
Compatible Pair ◽  
Cyclic Groups

scholarly journals NUMBER OF COMPATIBLE PAIR OF ACTIONS FOR FINITE CYCLIC GROUPS OF P-POWER ORDER

2018 ◽  
Vol 80 (5) ◽  
Author(s):  
Mohammed Khalid Shahoodh ◽  
Mohd Sham Mohamad ◽  
Yuhani Yusof ◽  
Sahimel Azwal Sulaiman
Keyword(s):  
Tensor Product ◽  
Compatible Pair ◽  
Cyclic Groups ◽  
Exact Number ◽  
Nonabelian Tensor ◽  
Necessary And Sufficient ◽  
Product Of Groups

The compatible actions played an important role before determining the nonabelian tensor product of groups. Different compatible pair of actions gives a different nonabelian tensor product even for the same group. The aim of this paper is to determine the exact number of the compatible pair of actions for the finite cyclic groups of p-power order where p is an odd prime. By using the necessary and sufficient number theoretical conditions for a pair of the actions to be compatible with the actions that have p-power order, the exact number of the compatible pair of actions for the finite cyclic groups of p-power order has been determined and given as a main result in this paper.   

On the minimal varieties of PI-algebras graded by finite cyclic groups

2021 ◽  
pp. 1-25
Author(s):  
Marcos Antônio da Silva Pinto ◽  
Viviane Ribeiro Tomaz da Silva
Keyword(s):  
Cyclic Groups

scholarly journals Serre’s Property (FA) for automorphism groups of free products

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Naomi Andrew
Keyword(s):  
Automorphism Group ◽  
Free Product ◽  
Finite Groups ◽  
Automorphism Groups ◽  
Sufficient Conditions ◽  
Free Products ◽  
Cyclic Groups ◽  
Link Type ◽  
Open Case

AbstractWe provide some necessary and some sufficient conditions for the automorphism group of a free product of (freely indecomposable, not infinite cyclic) groups to have Property (FA). The additional sufficient conditions are all met by finite groups, and so this case is fully characterised. Therefore, this paper generalises the work of N. Leder [Serre’s Property FA for automorphism groups of free products, preprint (2018), https://arxiv.org/abs/1810.06287v1]. for finite cyclic groups, as well as resolving the open case of that paper.

scholarly journals Cubulating hyperbolic free-by-cyclic groups: The irreducible case

2016 ◽  
Vol 165 (9) ◽  
pp. 1753-1813 ◽  
Author(s):  
Mark F. Hagen ◽  
Daniel T. Wise
Keyword(s):  
Cyclic Groups

scholarly journals The Segal Conjecture for Cyclic Groups

1981 ◽  
Vol 13 (1) ◽  
pp. 42-44 ◽  
Author(s):  
Douglas C. Ravenel
Keyword(s):  
Cyclic Groups

scholarly journals On connectedness of power graphs of finite groups

2018 ◽  
Vol 17 (10) ◽  
pp. 1850184 ◽  
Author(s):  
Ramesh Prasad Panda ◽  
K. V. Krishna
Keyword(s):  
Finite Groups ◽  
Upper Bound ◽  
The Other ◽  
Number Of Components ◽  
Cyclic Groups ◽  
Power Graph ◽  
Vertex Set ◽  
Proper Power

The power graph of a group [Formula: see text] is the graph whose vertex set is [Formula: see text] and two distinct vertices are adjacent if one is a power of the other. This paper investigates the minimal separating sets of power graphs of finite groups. For power graphs of finite cyclic groups, certain minimal separating sets are obtained. Consequently, a sharp upper bound for their connectivity is supplied. Further, the components of proper power graphs of [Formula: see text]-groups are studied. In particular, the number of components of that of abelian [Formula: see text]-groups are determined.

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