On the catenarity of virtually nilpotent mod-p Iwasawa algebras

William Woods

doi:10.1007/s11856-020-2022-z

On the catenarity of virtually nilpotent mod-p Iwasawa algebras

William Woods

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let p > 2 be a prime, k a finite field of characteristic p, and G a nilpotent-by-finite compact p-adic analytic group. Write kG for the completed group ring of G over k. We show that kG is a catenary ring.

Original language	English
Pages (from-to)	501-536
Number of pages	36
Journal	Israel Journal of Mathematics
Volume	238
Issue number	2
DOIs	https://doi.org/10.1007/s11856-020-2022-z
State	Published - 1 Jul 2020

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s11856-020-2022-z

Cite this

@article{2fe0bb12d62349449089d64c9f86f6dc,

title = "On the catenarity of virtually nilpotent mod-p Iwasawa algebras",

abstract = "Let p > 2 be a prime, k a finite field of characteristic p, and G a nilpotent-by-finite compact p-adic analytic group. Write kG for the completed group ring of G over k. We show that kG is a catenary ring.",

author = "William Woods",

note = "Publisher Copyright: {\textcopyright} 2020, The Hebrew University of Jerusalem.",

year = "2020",

month = jul,

day = "1",

doi = "10.1007/s11856-020-2022-z",

language = "English",

volume = "238",

pages = "501--536",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - On the catenarity of virtually nilpotent mod-p Iwasawa algebras

AU - Woods, William

PY - 2020/7/1

Y1 - 2020/7/1

N2 - Let p > 2 be a prime, k a finite field of characteristic p, and G a nilpotent-by-finite compact p-adic analytic group. Write kG for the completed group ring of G over k. We show that kG is a catenary ring.

AB - Let p > 2 be a prime, k a finite field of characteristic p, and G a nilpotent-by-finite compact p-adic analytic group. Write kG for the completed group ring of G over k. We show that kG is a catenary ring.

UR - http://www.scopus.com/inward/record.url?scp=85089358078&partnerID=8YFLogxK

U2 - 10.1007/s11856-020-2022-z

DO - 10.1007/s11856-020-2022-z

M3 - Article

AN - SCOPUS:85089358078

SN - 0021-2172

VL - 238

SP - 501

EP - 536

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 2

ER -

On the catenarity of virtually nilpotent mod-p Iwasawa algebras

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this