Results 11 to 20 of about 183 (30)

Bicrossed products for finite groups

, 2009
We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras, Hopf algebras). The problem is to classify the groups that can be written
A. Chirvăsitu, A. L. Agore, B. Ion, C Kassel, E Maillet, G. Militaru, H Wielandt, J Douglas, J López Peña, J Rotman, J Szép, J Wiegold, M Giudici, M Takeuchi, O Ore, S Caenepeel   +15 more
core   +2 more sources

On the maximum order of nilpotent transitive permutation groups

, 2014
Given two positive integers n and c, we determine an upper bound, as a function of n and c, for the maximum order of a finite nilpotent transitive group of degree n and nilpotency class at most c.Comment: 14 ...
Crestani, Eleonora, Spiga, Pablo
core   +1 more source

On the Number of Hamiltonian Groups [PDF]

, 2005
Finite hamiltonian groups are counted. The sequence of numbers of all groups of order $n$ all whose subgroups are normal and the sequence of numbers of all groups of order less or equal to $n$ all whose subgroups are normal are presented.Comment: 6 pages,
Horvat, Boris, Jaklič, Gašper, Pisanski, Tomaž   +2 more
core   +1 more source

A bijection from a finite group to the cyclic group with a divisibility property on the element orders

, 2020
This paper proves that there exists a bijection $f$ from a finite group $G$ of order $n$ onto a cyclic group of order $n$ such that for each element $x\in G$ the order of $x$ divides the order of $f(x)$.Comment: The proof has a ...
Amiri, Mohsen
core  

Transitive simple subgroups of wreath products in product action

, 2003
A transitive simple subgroup of a finite symmetric group is very rarely contained in a full wreath product in product action. All such simple permutation groups are determined in this paper.
Baddeley, Robert W., Praeger, Cheryl E., Schneider, Csaba   +2 more
core   +2 more sources

On a question of permutation groups acting on the power set

Open Mathematics
In this work, we settle a conjecture about the number of set-orbits of permutation group acting on the power set.
Li Jinbao, Yang Yong, You Mengxi
doaj   +1 more source

Algebraic properties of generalized Rijndael-like ciphers [PDF]

, 2012
We provide conditions under which the set of Rijndael functions considered as permutations of the state space and based on operations of the finite field $\GF (p^k)$ ($p\geq 2$ a prime number) is not closed under functional composition.
B. Scott, Cory, Kevin W. Bombardier, L. Babinkostova, Matthew M. Cole, Thomas A   +5 more
core  

The cycle polynomial of a permutation group [PDF]

, 2017
The cycle polynomial of a finite permutation group G is the generating function for the number of elements of G with a given number of cycles.In the first part of the paper, we develop basic properties of this polynomial, and give a number of examples ...
Cameron, Peter J., Semeraro, Jason
core   +1 more source

A group theoretic approach to model comparison with simplicial representations. [PDF]

J Math Biol, 2022
Vittadello ST, Stumpf MPH.
europepmc   +1 more source

Strongly Base-Two Groups. [PDF]

Vietnam J Math, 2023
Burness TC, Guralnick RM.
europepmc   +1 more source