✦ LIBER ✦

Products of Conjugacy Classes in Algebraic Groups, I

✍ Scribed by N.L. Gordeev

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 1005 KB
Volume: 173
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1995.1111

No coin nor oath required. For personal study only.

✦ Synopsis

Here we consider algebraic varieties which are closures of products of conjugacy classes in algebraic groups. Estimates for the dimension of such varieties are obtained. Moreover, these estimates are used in some questions of the Invariant Theory. Also, the structure of the monoid generated by the semisimple conjugacy classes in (S L_{n}(K)) is described. (1995 Academic Press, Inc.

📜 SIMILAR VOLUMES

Conjugacy in semisimple algebraic groups

✍ Robert Steinberg 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 210 KB

About products of irreducible characters

About products of irreducible characters and products of conjugacy classes in finite groups

✍ Zvi Arad; Elsa Fisman 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 591 KB

On products of conjugacy classes of the

On products of conjugacy classes of the symmetric group

✍ Alain Goupil 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 466 KB

On conjugacy classes of maximal tori in

On conjugacy classes of maximal tori in classical groups

✍ Kazutoshi Kariyama 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 843 KB

Lengths of conjugacy classes of finite s

Lengths of conjugacy classes of finite solvable groups

✍ Pamela A Ferguson 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 486 KB

Tree Products of Conjugacy Separable Gro

Tree Products of Conjugacy Separable Groups

✍ P.C. Wong; C.K. Tang 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 345 KB

A group G is said to be conjugacy separable if for each pair of elements x y ∈ G such that x and y are not conjugate in G, there exists a finite homomorphic image Ḡ of G such that the images of x y are not conjugate in Ḡ. In this note, we show that the tree products of finitely many conjugacy separa