Results 11 to 20 of about 234 (44)

Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent [PDF]

, 2015
We consider factorizations of a finite group $G$ into conjugate subgroups, $G=A^{x_{1}}\cdots A^{x_{k}}$ for $A\leq G$ and $x_{1},\ldots ,x_{k}\in G$, where $A$ is nilpotent or solvable.
Garonzi, Martino, Levy, Dan, Maróti, Attila, Simion, Iulian I.   +3 more
core   +2 more sources

Orbits of primitive k-homogenous groups on (N − k)-partitions with applications to semigroups [PDF]

, 2017
© 2018 American Mathematical Society. The purpose of this paper is to advance our knowledge of two of the most classic and popular topics in transformation semigroups: automorphisms and the size of minimal generating sets. In order to do this, we examine
Araújo, João, Bentz, Wolfram, Cameron, Peter J.   +2 more
core   +2 more sources

Two Generalizations of Homogeneity in Groups with Applications to Regular Semigroups [PDF]

, 2014
Let $X$ be a finite set such that $|X|=n$ and let $i\leq j \leq n$. A group $G\leq \sym$ is said to be $(i,j)$-homogeneous if for every $I,J\subseteq X$, such that $|I|=i$ and $|J|=j$, there exists $g\in G$ such that $Ig\subseteq J$.
Araújo, João, Cameron, Peter J.
core   +2 more sources

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 derangements in simple permutation groups

Forum of Mathematics, Sigma
Let $G \leqslant \mathrm {Sym}(\Omega )$ be a finite transitive permutation group and recall that an element in G is a derangement if it has no fixed points on $\Omega $ . Let $\Delta (G)$ be the set of derangements in G and define
Timothy Burness, Marco Fusari
doaj   +1 more source

A single source theorem for primitive points on curves

Forum of Mathematics, Sigma
Let C be a curve defined over a number field K and write g for the genus of C and J for the Jacobian of C. Let $n \ge 2$ . We say that an algebraic point $P \in C(\overline {K})$ has degree n if the extension $K(P)/K$ has degree n. By
Maleeha Khawaja, Samir Siksek
doaj   +1 more source

Distinguishability of infinite groups and graphs [PDF]

, 2011
The distinguishing number of a group G acting faithfully on a set V is the least number of colors needed to color the elements of V so that no non-identity element of the group preserves the coloring.
E. Watkins, Mark, Mark E. Watkins, Simon M. Smith, Simon M. Smith, Thomas W. Tucker, Thomas W. Tucker   +6 more
core   +4 more sources

Conway groupoids, regular two-graphs and supersimple designs [PDF]

, 2015
A $2-(n,4,\lambda)$ design $(\Omega, \mathcal{B})$ is said to be supersimple if distinct lines intersect in at most two points. From such a design, one can construct a certain subset of Sym$(\Omega)$ called a "Conway groupoid".
Gill, Nick, Gillespie, Neil I., Praeger, Cheryl E., Semeraro, Jason   +3 more
core   +1 more source

Laurea-ammattikorkeakoulun opetussuunnitelman työn arviointi [PDF]

, 2006
Laurea-ammattikorkeakoulun opetusssuunnitelmatyön arviointi on Helia Ammatillisen opettajakorkeakoulun toteuttaman opetussuunnitelmaprosessin väliarvioinnin raportti.
Auvinen, Pekka, Mäkelä, Jarmo, Peisa, Seppo   +2 more
core  

A note on some algebraic trapdoors for block ciphers

, 2018
We provide sufficient conditions to guarantee that a translation based cipher is not vulnerable with respect to the partition-based trapdoor. This trapdoor has been introduced, recently, by Bannier et al.
Calderini, Marco
core