Results 61 to 70 of about 6,291 (145)

Degrees and prime power order zeros of characters of symmetric and alternating groups

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3408-3428, November 2025.
Abstract We show that the p$p$‐part of the degree of an irreducible character of a symmetric group is completely determined by the set of vanishing elements of p$p$‐power order. As a corollary, we deduce that the set of zeros of prime power order controls the degree of such a character. The same problem is analysed for alternating groups, where we show
Eugenio Giannelli, Stacey Law, Eoghan McDowell   +2 more
wiley   +1 more source

Unipotent classes in the classical groups parameterized by subgroups [PDF]

, 2008
This paper describes how to use subgroups to parameterize unipotent classes in the classical algebraic group in characteristic 2. These results can be viewed as an extension of the Bala-Carter Theorem, and give a convenient way to compare unipotent ...
Duckworth, W. Ethan
core   +1 more source

Multivariate Bayesian Dynamic Borrowing for Repeated Measures Data With Application to External Control Arms in Open‐Label Extension Studies

Biometrical Journal, Volume 67, Issue 5, October 2025.
ABSTRACT Borrowing analyses are increasingly important in clinical trials. We develop a method for using robust mixture priors in multivariate dynamic borrowing. The method was motivated by a desire to produce causally valid, long‐term treatment effect estimates of a continuous endpoint from a single active‐arm open‐label extension study following a ...
Benjamin F. Hartley, Matthew A. Psioda, Adrian P. Mander   +2 more
wiley   +1 more source

An Accelerated Spectral CG‐Type Projection Method With Restart Strategy for Nonlinear Monotone Equations and Applications in Compressed Sensing

Numerical Linear Algebra with Applications, Volume 32, Issue 5, October 2025.
ABSTRACT In this study, we present an accelerated spectral conjugate gradient‐type projection method to solve the system of nonlinear monotone equations. Compared to traditional methods for solving such equations, this method utilizes three‐step successive information to produce inertial iterates.
Pengjie Liu, Linhao Li, Hu Shao, Bowen Zhang   +3 more
wiley   +1 more source

Divisibility graph for symmetric and alternating groups [PDF]

, 2014
Let $X$ be a non-empty set of positive integers and $X^*=X\setminus \{1\}$. The divisibility graph $D(X)$ has $X^*$ as the vertex set and there is an edge connecting $a$ and $b$ with $a, b\in X^*$ whenever $a$ divides $b$ or $b$ divides $a$. Let $X=cs~{G}
A. Iranmanesh, Adeleh Abdolghafourian, Mohammad   +2 more
core  

On the normal subgroup with coprime G-conjugacy class sizes

Proceedings - Mathematical Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Xianhe, Chen, Guiyun, Shi, Jiaoyun
openaire   +1 more source

Poncelet curves

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 10, October 2025.
Abstract We examine pairs of closed plane curves that have the same closing property as two conic sections in Poncelet's porism. We show how the vertex curve can be computed for a given envelope and vice versa. Our formulas are universal in the sense that they produce all possible sufficiently regular pairs of such Poncelet curves. We arrive at similar
Norbert Hungerbühler, Micha Wasem
wiley   +1 more source

Finite groups with exactly one composite conjugacy class size

Proceedings - Mathematical Sciences, 2020
Let \(G\) be a finite group and \(\operatorname{cs}(G)\) the set of conjugacy class sizes of \(G\). \textit{A. R. Camina} and \textit{R. D. Camina} in [Asian-Eur. J. Math. 2, No. 2, 183--190 (2009; Zbl 1185.20024)], proved that if \(G\) has the property that given any three distinct conjugacy class sizes greater than 1, there is a pair which is coprime,
Jiang, Qinhui, Shao, Changguo, Zhao, Yan
openaire   +2 more sources

The center of the wreath product of symmetric groups algebra

, 2018
We consider the wreath product of two symmetric groups as a group of blocks permutations and we study its conjugacy classes. We give a polynomiality property for the structure coefficients of the center of the wreath product of symmetric groups algebra ...
Tout, Omar
core  

Nilpotency of p-complements and p-regular conjugacy class sizes

Journal of Algebra, 2007
This is one in a series of papers where the authors consider what information can be gained about a group if we are told information about the sizes of \(p\)-regular classes of a finite \(p\)-soluble group for some prime \(p\). The reviewer [\textit{A. R. Camina}, J. Lond. Math. Soc., II. Ser.
Beltrán, Antonio, Felipe, María José
openaire   +1 more source