𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Character Degrees and Nilpotence Class of a p-Group

✍ Scribed by I.M Isaacs; Alexander Moretó

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
126 KB
Volume
238
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Graded Characters of Modules Supported i
Graded Characters of Modules Supported in the Closure of a Nilpotent Conjugacy Class
✍ Mark Shimozono; Jerzy Weyman 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 306 KB

This is a combinatorial study of the Poincaré polynomials of isotypic components of a natural family of graded G L(n)-modules supported in the closure of a nilpotent conjugacy class. These polynomials generalize the Kostka-Foulkes polynomials and are q-analogues of Littlewood-Richardson coefficients

On the degree of commutativity of p -gro
On the degree of commutativity of p -groups of maximal class
✍ A. Vera–López; J.M. Arregi; A. Jaikin–Zapirain 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 161 KB

## Abstract Let __G__ be a __p__ ‐group of maximal class of order __p__^__m__^ , __p__ ≠ 2, and __c__ (__G__) the degree of commutativity of __G__. Let __c__~0~ be the nonnegative residue of __c__ modulo __p__ – 1. In this paper, by using only Lie algebra techniques, we prove that 2__c ≥ m__ – 2__p

Lie Properties of the Group Algebra and
Lie Properties of the Group Algebra and the Nilpotency Class of the Group of Units
✍ A.A Bovdi; J Kurdics 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 258 KB

We describe the upper and lower Lie nilpotency index of a modular group algebra ‫ކ‬G of some metabelian group G and apply these results to determine the nilpotency class of the group of units, extending certain results of Shalev without restriction to finite groups. A characterization of modular gro