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pro vyhledávání: '"Cameron, Peter A"'
Autor:
Cameron, Peter J.
This paper makes some preliminary observations towards an extension of current work on graphs defined on groups to simplicial complexes. I define a variety of simplicial complexes on a group which are preserved by automorphisms of the group, and in m
Externí odkaz:
http://arxiv.org/abs/2410.22260
Let $G$ be a 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 of the same siz
Externí odkaz:
http://arxiv.org/abs/2409.10461
Autor:
Cameron, Peter J.
These problems were mostly presented at the problem session at the 30th British Combinatorial Conference at Queen Mary University of London on 4 July 2024. Some were contributed later by conference participants. Thank you to all the contributors. The
Externí odkaz:
http://arxiv.org/abs/2409.07216
Let $G$ be a group. Associate a graph $\mathcal{E}_G$ (called the co-Engel graph of $G$) with $G$ whose vertex set is $G$ and two distinct vertices $x$ and $y$ are adjacent if $[x, {}_k y] \neq 1$ and $[y, {}_k x] \neq 1$ for all positive integer $k$
Externí odkaz:
http://arxiv.org/abs/2408.03879
Let A be a graph type and B an equivalence relation on a group $G$. Let $[g]$ be the equivalence class of $g$ with respect to the equivalence relation B. The B superA graph of $G$ is an undirected graph whose vertex set is $G$ and two distinct vertic
Externí odkaz:
http://arxiv.org/abs/2408.00390
Let $k$ and $l$ be integers, both at least 2. A $(k,l)$-bipartite graph is an $l$-regular bipartite multigraph with coloured bipartite sets of size $k$. Define $\chi(k,l)$ and $\mu(k,l)$ to be the minimum and maximum order of automorphism groups of $
Externí odkaz:
http://arxiv.org/abs/2405.20002
Let $\mathcal{F}$ be a set of finite groups. A finite group $G$ is called an \emph{$\mathcal{F}$-cover} if every group in $\mathcal{F}$ is isomorphic to a subgroup of $G$. An $\mathcal{F}$-cover is called \emph{minimal} if no proper subgroup of $G$ i
Externí odkaz:
http://arxiv.org/abs/2311.15652
If $G$ is a graph, $A$ and $B$ its induced subgraphs, and $f\colon A\to B$ an isomorphism, we say that $f$ is a \emph{partial automorphism} of $G$. In 1992, Hrushovski proved that graphs have the \emph{extension property for partial automorphisms} (\
Externí odkaz:
http://arxiv.org/abs/2311.07995
This paper provides a bridge between two active areas of research, the spectrum (set of element orders) and the power graph of a finite group. The order sequence of a finite group $G$ is the list of orders of elements of the group, arranged in non-de
Externí odkaz:
http://arxiv.org/abs/2310.06516
Autor:
Doyon, Rene, Willott, C. J, Hutchings, John B., Sivaramakrishnan, Anand, Albert, Loic, Lafreniere, David, Rowlands, Neil, Vila, M. Begona, Martel, Andre R., LaMassa, Stephanie, Aldridge, David, Artigau, Etienne, Cameron, Peter, Chayer, Pierre, Cook, Neil J., Cooper, Rachel A., Darveau-Bernier, Antoine, Dupuis, Jean, Earnshaw, Colin, Espinoza, Nestor, Filippazzo, Joseph C., Fullerton, Alexander W., Gaudreau, Daniel, Gawlik, Roman, Goudfrooij, Paul, Haley, Craig, Kammerer, Jens, Kendall, David, Lambros, Scott D., Ignat, Luminita Ilinca, Maszkiewicz, Michael, McColgan, Ashley, Morishita, Takahiro, Ouellette, Nathalie N. -Q., Pacifici, Camilla, Philippi, Natasha, Radica, Michael, Ravindranath, Swara, Rowe, Jason, Roy, Arpita, Saad, Karl, Sohn, Sangmo Tony, Talens, Geert Jan, Thatte, Deepashri, Taylor, Joanna M., Vandal, Thomas, Volk, Kevin, Wander, Michel, Warner, Gerald, Zheng, Sheng-Hai, Zhou, Julia, Abraham, Roberto, Beaulieu, Mathilde, Benneke, Bjorn, Ferrarese, Laura, Johnstone, Doug, Kaltenegger, Lisa, Meyer, Michael R., Pipher, Judy L., Rameau, Julien, Rieke, Marcia, Salhi, Salma, Sawicki, Marcin
The Near-Infrared Imager and Slitless Spectrograph (NIRISS) is the science module of the Canadian-built Fine Guidance Sensor (FGS) onboard the James Webb Space Telescope (JWST). NIRISS has four observing modes: 1) broadband imaging featuring seven of
Externí odkaz:
http://arxiv.org/abs/2306.03277