Results 21 to 30 of about 244 (73)

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

Permutation groups, partition lattices and block structures

Forum of Mathematics, Sigma
Let G be a finite transitive permutation group on $\Omega $ . The G-invariant partitions form a sublattice of the lattice of all partitions of $\Omega $ , having the further property that all its elements are uniform (that is, have all parts ...
Marina Anagnostopoulou-Merkouri, R. A. Bailey, Peter J. Cameron   +2 more
doaj   +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  

On imprimitive rank 3 permutation groups

, 2011
A classification is given of rank 3 group actions which are quasiprimitive but not primitive. There are two infinite families and a finite number of individual imprimitive examples.
Devillers, Alice, Giudici, Michael, Li, Cai Heng, Pearce, Geoffrey, Praeger, Cheryl E.   +4 more
core   +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  

Non Abelian Bent Functions

, 2011
International audiencePerfect nonlinear functions from a finite group $G$ to another one $H$ are those functions $f: G \rightarrow H$ such that for all nonzero $\alpha \in G$, the derivative $d_{\alpha}f: x \mapsto f(\alpha x) f(x)^{-1}$ is balanced.
Poinsot, Laurent
core   +3 more sources

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

On residuals of finite groups

, 2017
A theorem of Dolfi, Herzog, Kaplan, and Lev \cite[Thm.~C]{DHKL} asserts that in a finite group with trivial Fitting subgroup, the size of the soluble residual of the group is bounded from below by a certain power of the group order, and that the ...
Aivazidis, Stefanos, Mueller, Thomas
core  

Invariable generation of permutation groups [PDF]

, 2015
Detomi, ELOISA MICHELA, Lucchini, Andrea
core   +1 more source