Conjugacy classes of involutions in Coxeter groups
نویسندگان
چکیده
منابع مشابه
COMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS
Suppose $G$ is a finite group, $A$ and $B$ are conjugacy classes of $G$ and $eta(AB)$ denotes the number of conjugacy classes contained in $AB$. The set of all $eta(AB)$ such that $A, B$ run over conjugacy classes of $G$ is denoted by $eta(G)$.The aim of this paper is to compute $eta(G)$, $G in { D_{2n}, T_{4n}, U_{6n}, V_{8n}, SD_{8n}}$ or $G$ is a decomposable group of order $2pq$, a group of...
متن کاملConjugacy Classes of Involutions and Kazhdan–lusztig Cells
According to an old result of Schützenberger, the involutions in a given two-sided cell of the symmetric group Sn are all conjugate. In this paper, we study possible generalizations of this property to other types of Coxeter groups. We show that Schützenberger’s result is a special case of a general result on “smooth” two-sided cells. Furthermore, we consider Kottwitz’s conjecture concerning th...
متن کاملNilpotent groups with three conjugacy classes of non-normal subgroups
Let $G$ be a finite group and $nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$. In this paper, all nilpotent groups $G$ with $nu(G)=3$ are classified.
متن کاملA word property for twisted involutions in Coxeter groups
Given an involutive automorphism θ of a Coxeter system (W,S), let I(θ) ⊆W denote the set of twisted involutions. We provide a minimal set of moves that can be added to the braid moves, in order to connect all reduced S-expressions (also known as admissible sequences, reduced Iθ-expressions, or involution words) for any given w ∈ I(θ). This can be viewed as an analogue of the well-known word pro...
متن کاملSign conjugacy classes in symmetric groups
A special type of conjugacy classes in symmetric groups is studied and used to answer a question about odd-degree irreducible characters.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1982
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700005554