𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the 2-Component of the Group of Classes of Certain Cyclic Extensions of Degree 2N

✍ Scribed by G. Guerry

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
581 KB
Volume
53
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The 2-Primary Class Group of Certain Hyp
The 2-Primary Class Group of Certain Hyperelliptic Curves
✍ Gunther Cornelissen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 167 KB

Let q be an odd prime, e a non-square in the finite field F q with q elements, p(T) an irreducible polynomial in F q [T] and A the affine coordinate ring of the hyperelliptic curve y 2 =ep(T) in the (y, T)-plane. We use class field theory to study the dependence on deg(p) of the divisibility by 2, 4

On the degree of commutativity of p -gro
On the degree of commutativity of p -groups of maximal class
✍ A. Vera–LΓ³pez; J.M. Arregi; A. Jaikin–Zapirain πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 161 KB

## Abstract Let __G__ be a __p__ ‐group of maximal class of order __p__^__m__^ , __p__ β‰  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 β‰₯ m__ – 2__p