A note on extensions of algebraic and formal groups. II
type: Item
instance of: scholarly article
title: A note on extensions of algebraic and formal groups. II
zbMATH Open document ID: 0815.14032
DOI: 10.1007/BF02571954
author: Noriyuki Suwa
author: Tsutomu Sekiguchi
published in: Mathematische Zeitschrift
publication date: 1995-07-02T00:00:00Z
full work available at URL: https://eudml.org/doc/174700
review text: [For part I see ibid. 206, No. 4, 567-575 (1990; Zbl 0742.14039).] We determine the groups of commutative extensions of \(W_{n,A}^ \wedge\) by \(\mathbb{G}_{m,A}^ \wedge\) or \(W_{n,A}\) by \(\mathbb{G}_{m,A}\) when \(A\) is a ring of characteristic \(p > 0\). More precisely: Let \(A\) be an \(\mathbb{F}_ p\)-algebra. Then there exist bijective homomorphisms \[ W(A)/F^ n @>\sim>> H^ 2_ 0 (W^ \wedge_{n,A}, \mathbb{G}_{m,A})\quad\text{and}\quad W^ \wedge (A)/F^ n @>\sim>> H^ 2_ 0 (W_{n,A}, \mathbb{G}_{m,A}). \] {}.
Mathematics Subject Classification ID: 14L05
Mathematics Subject Classification ID: 13A35
Mathematics Subject Classification ID: 13K05
zbMATH DE Number: 737173
zbMATH Keywords: formal group
zbMATH Keywords: characteristic \(p\)
zbMATH Keywords: groups of commutative extensions
MaRDI profile type: Publication
cites work: Q3901604
cites work: A note on extensions of algebraic and formal groups. I
OpenAlex ID: W4235087090
description: scientific article; zbMATH DE number 737173