Results 41 to 50 of about 30,795 (238)

Quasirandom groups enjoy interleaved mixing

Discrete Analysis, 2023
Quasirandom groups enjoy interleaved mixing, Discrete Analysis 2023:14, 4 pp. In 1985 Babai and Sós asked whether there is a constant $c>0$ such that every group of order $n>1$ has a product-free subset of size at least $cn$, where this means a set $A ...
Harm Derksen, Emanuele Viola
doaj   +1 more source

Turbulence, amalgamation and generic automorphisms of homogeneous structures [PDF]

, 2006
We study topological properties of conjugacy classes in Polish groups, with emphasis on automorphism groups of homogeneous countable structures. We first consider the existence of dense conjugacy classes (the topological Rokhlin property).
Kechris, Alexander S., Rosendal, Christian   +1 more
core   +1 more source

A Tree‐Based Model for Addressing Sparsity and Taxa Covariance in Microbiome Compositional Count Data

Statistics in Medicine, Volume 45, Issue 10-12, May 2026.
ABSTRACT Microbiome compositional data are often high‐dimensional, sparse, and exhibit pervasive cross‐sample heterogeneity. We introduce the “logistic‐tree normal” (LTN) model, a generative model that allows flexible covariance among the microbiome taxa, enables scalable computation, and effectively captures other key characteristics of microbiome ...
Zhuoqun Wang, Jialiang Mao, Li Ma
wiley   +1 more source

Bar operators for quasiparabolic conjugacy classes in a Coxeter group

Journal of Algebra, 2016
The action of a Coxeter group $W$ on the set of left cosets of a standard parabolic subgroup deforms to define a module $\mathcal{M}^J$ of the group's Iwahori-Hecke algebra $\mathcal{H}$ with a particularly simple form. Rains and Vazirani have introduced the notion of a quasiparabolic set to characterize $W$-sets for which analogous deformations exist;
openaire   +3 more sources

On a question of Jaikin-Zapirain about the average order elements of finite groups [PDF]

International Journal of Group Theory
For a finite group $G$, the average order $o(G)$ is defined to be the average of all order elements in $G$, that is $o( G)=\frac{1}{|G|}\sum_{x\in G}o(x)$, where $o(x)$ is the order of element $x$ in $G$.
Bijan Taeri, Ziba Tooshmalani
doaj   +1 more source

Automorphisms of Higher Rank Lamplighter Groups

, 2015
Let $\Gamma_d(q)$ denote the group whose Cayley graph with respect to a particular generating set is the Diestel-Leader graph $DL_d(q)$, as described by Bartholdi, Neuhauser and Woess. We compute both $Aut(\Gamma_d(q))$ and $Out(\Gamma_d(q))$ for $d \geq
Stein, Melanie, Taback, Jennifer, Wong, Peter   +2 more
core   +1 more source

On the finite generation of ideals in tensor triangular geometry

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Inspired by Cohen's characterization of Noetherian commutative rings, we study the finite generation of ideals in tensor triangular geometry. In particular, for an essentially small tensor triangulated category K$\mathcal {K}$ with weakly Noetherian spectrum, we show that every prime ideal in K$\mathcal {K}$ can be generated by finitely many ...
Tobias Barthel
wiley   +1 more source

Non-nilpotent groups with three conjugacy class of non-normal subgroups [PDF]

International Journal of Group Theory, 2014
For a finite group $G$ let $nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$. The aim of this paper is to classify all the non-nilpotent groups with $nu(G)=3$.
Hamid Mousavi
doaj  

On a group of the form $2^{11}:M_{24}$ [PDF]

AUT Journal of Mathematics and Computing
The Conway group $Co_{1}$ is one of the $26$ sporadic simple groups. It is the largest of the three Conway groups with order $4157776806543360000=2^{21}.3^9.5^4.7^2.11.13.23$ and has $22$ conjugacy classes of maximal subgroups.
Vasco Mugala, Dennis Chikopela, Richard Ng'ambi   +2 more
doaj   +1 more source

Induced conjugacy classes, prehomogeneous varieties, and canonical parabolic subgroups [PDF]

, 2013
We extend the notion of induced conjugacy classes in reductive groups, introduced by Lusztig and Spaltenstein for unipotent classes, to arbitrary classes.
Hoffmann, Werner
core