Results 21 to 30 of about 1,562 (223)

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

Separating subsets from their images

Forum of Mathematics, Sigma
Let G be a transitive permutation group acting on Ω $\Omega $ normal upper Omega . In this paper, we introduce and study the parameter sep(G) $\mathrm {sep}(G)$ sep left parenthesis upper G right parenthesis , which denotes the size of the ...
Marco Barbieri, Maruša Lekše, Primož Potočnik, Kamilla Rekvényi   +3 more
doaj   +1 more source

Factorizations of Primitive Permutation Groups

Journal of Algebra, 1997
The author gives a complete classification of those finite primitive permutation groups which admit a factorization as a product of a point stabilizer and an automorphic image of it: \(G=G_\omega G^\alpha_\omega\). Using the types given in the O'Nan-Scott theorem the following cases are obtained: (i) If \(G\) is affine then \(G=(E_{2^3}L_3(2))\text{ wr
openaire   +2 more sources

Derangements in cosets of primitive permutation groups [PDF]

Journal of Group Theory, 2014
Abstract Motivated by questions arising in connection with branched coverings of connected smooth projective curves over finite fields, we study the proportion of fixed-point free elements (derangements) in cosets of normal subgroups of primitive permutations groups.
openaire   +2 more sources

Reconstructing enzyme evolution by protein engineering

FEBS Letters, EarlyView.
Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler, Markus R. Busch, Reinhard Sterner   +2 more
wiley   +1 more source

Hijacking emergency granulopoiesis: Neutrophil ontogeny and reprogramming in cancer

Molecular Oncology, EarlyView.
Neutrophils are highly plastic innate immune cells; their functions in cancer extend beyond the tumour microenvironment. This Review summarises current understanding of neutrophil maturation and heterogeneity and highlights tumour‐induced granulopoiesis as a systemic programme that expands immature, immunosuppressive neutrophils via tumour‐derived ...
Gabriela Marinescu, Yi Feng
wiley   +1 more source

On the depth of subgroups of simple groups

Forum of Mathematics, Sigma
The depth of a subgroup H of a finite group G is a positive integer defined with respect to the inclusion of the corresponding complex group algebras $\mathbb {C}H \subseteq \mathbb {C}G$ .
Timothy C. Burness
doaj   +1 more source

Ontology‐Aligned Structuring and Reuse of Multimodal Materials Data and Workflows Toward Automatic Reproduction

Advanced Engineering Materials, EarlyView.
Reproduction of stacking fault energy calculations from literature with a semi‐automated large language model‐assisted extraction procedure: extraction of simulation protocol, atomistic structures, computational parameters, and reported results, ontology alignment, knowledge graph construction and, finally, recomputation forvalidation.
Sepideh Baghaee Ravari, Abril Azocar Guzman, Sarath Menon, Stefan Sandfeld, Tilmann Hickel, Markus Stricker   +5 more
wiley   +1 more source

A complete classification of shuffle groups

Forum of Mathematics, Sigma
For positive integers k and n, the shuffle group $G_{k,kn}$ is generated by the $k!$ permutations of a deck of $kn$ cards performed by cutting the deck into k piles with n cards in each pile, and then perfectly interleaving these ...
Binzhou Xia, Junyang Zhang, Zhishuo Zhang, Wenying Zhu   +3 more
doaj   +1 more source

Transitive Subgroups of Primitive Permutation Groups

Journal of Algebra, 2000
The authors classify the primitive permutation groups \(G\) which possess a transitive subgroup which does not contain a nontrivial subnormal subgroup of \(G\). The conclusion is that such primitive groups are rather rare, and that their existence is intimately connected with factorisations of almost simple groups.
Liebeck, Martin W., Praeger, Cheryl E., Saxl, Jan   +2 more
openaire   +1 more source