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of 5 482
pro vyhledávání: '"LEWIS, MARK"'
Let $n$ be a non negative integer, and define $D_n$ to be the family of all finite groups having precisely $n$ conjugacy classes of nontrivial subgroups that are not self-normalizing. We are interested in studying the behavior of $D_n$ and its interp
Externí odkaz:
http://arxiv.org/abs/2411.18102
Autor:
Lewis, Mark L., Martin, Brandon
Let $G$ be a finite group, and let $d$ be the degree of an irreducible character of $G$ such that $|G|=d(d+e)$ for some $e>1$. Consider the case when $G$ is solvable, $d$ is square-free, and $(d,d+e)=1$. We wish to explore an equivalent condition on
Externí odkaz:
http://arxiv.org/abs/2411.08581
Variations in individuals' perceptions of vaccination and decision-making processes can give rise to poor vaccination coverage. The future vaccination promotion programs will benefit from understanding this heterogeneity amongst groups within a popul
Externí odkaz:
http://arxiv.org/abs/2411.01080
Autor:
Lewis, Mark L., Tefft, Shannon M.
Let $D: \mathbb{Z}_m^n \to \mathbb{Z}_m^n$ be defined so \[D(x_1, x_2, ..., x_n)=(x_1+x_2 \; \text{mod} \; m, x_2+x_3 \; \text{mod} \; m, ..., x_n+x_1 \; \text{mod} \; m).\] $D$ is known as the Ducci function and for $\mathbf{u} \in \mathbb{Z}_m^n$,
Externí odkaz:
http://arxiv.org/abs/2410.18204
Autor:
Johnson, Evan C., Lewis, Mark
Understanding the mountain pine beetle's dispersal patterns is critical for evaluating its threat to Canada's boreal forests. It is generally believed that higher beetle densities lead to increased long-distance dispersal due to aggregation pheromone
Externí odkaz:
http://arxiv.org/abs/2410.09725
Autor:
Burkett, Shawn T., Lewis, Mark L.
Publikováno v:
Comptes Rendus. Mathématique, Vol 359, Iss 3, Pp 355-361 (2021)
We show that a group is a GVZ-group if and only if it is a flat group. We show that the nilpotence class of a GVZ-group is bounded by the number of distinct degrees of irreducible characters. We also show that certain CM-groups can be characterized a
Externí odkaz:
https://doaj.org/article/4ece75c69164481f9a8d489421c8350b
Understanding and predicting recreational fishing activity is important for sustainable fisheries management. However, traditional methods of measuring fishing pressure, such as surveys, can be costly and limited in both time and spatial extent. Pred
Externí odkaz:
http://arxiv.org/abs/2409.17425
Let $G$ be a finite group, and let $\text{Irr}(G)$ denote the set of the irreducible complex characters of $G$. An element $g\in G$ is called a vanishing element of $G$ if there exists $\chi\in\text{Irr}(G)$ such that $\chi(g)=0$ (i.e., $g$ is a zero
Externí odkaz:
http://arxiv.org/abs/2409.14811
The mountain pine beetle (MPB), a destructive pest native to Western North America, has recently extended its range into Alberta, Canada. Predicting the dispersal of MPB is challenging due to their small size and complex dispersal behavior. Because o
Externí odkaz:
http://arxiv.org/abs/2409.05320
Fishing is a valuable recreational activity in our society. To assess future fishing activity, identifying variables related to differences in fishing activity, such as gender or Covid-19, is helpful. We conducted a Canada-wide email survey of users
Externí odkaz:
http://arxiv.org/abs/2409.07492