𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Modular Invariants of Parabolic Subgroups of General Linear Groups

✍ Scribed by Pham Anh Minh; Võ Thanh Tùng

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
96 KB
Volume
232
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

Let p be a prime number and let A be an elementary abelian p-group of rank m. The purpose of this paper is to determine a full system for the invariants of Ž . Ž . parabolic subgroups of the general linear group GL m, ‫ކ‬ in H * A, ‫ކ‬ . A p p relation between these invariants and Dickson ones is also obtained. ᮊ 2000 Academic Press 1 m 1 m p

we shall determine a full system for the invariants of G in A A.

📜 SIMILAR VOLUMES

Conjugacy Classes in Maximal Parabolic S
Conjugacy Classes in Maximal Parabolic Subgroups of General Linear Groups
✍ Scott H. Murray 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 184 KB

We compute conjugacy classes in maximal parabolic subgroups of the general linear group. This computation proceeds by reducing to a "matrix problem." Such problems involve finding normal forms for matrices under a specified set of row and column operations. We solve the relevant matrix problem in sm

The Hit Problem for the Modular Invarian
The Hit Problem for the Modular Invariants of Linear Groups
✍ Nguyen H.V Hu·ng; Tran Ngoc Nam 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 176 KB

Let the mod 2 Steenrod algebra, , and the general linear group, GL k = GL k 2 , act on P k = 2 x 1 x k with deg x i = 1 in the usual manner. We prove that, for a family of some rather small subgroups G of GL k , every element of positive degree in the invariant algebra P G k is hit by in P k . In ot

Computing Modular Invariants of p-groups
Computing Modular Invariants of p-groups
✍ R James Shank; David L Wehlau 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 388 KB

Let V be a finite dimensional representation of a p-group, G, over a field, k, of characteristic p. We show that there exists a choice of basis and monomial order for which the ring of invariants, k[V ] G , has a finite SAGBI basis. We describe two algorithms for constructing a generating set for k[

Normalisers of Subgroups of the Modular
Normalisers of Subgroups of the Modular Group
✍ Mong Lung Lang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 132 KB

Let G be a subgroup of finite index of the modular group and let N G be the normaliser of G in PSL 2 . In this article, we give an algorithm that determines N G .