The Modular Isomorphism Problem for two generated groups of class two

Osnel Broche () and Ángel Río ()
Additional contact information
Osnel Broche: Universidade Federal de Lavras
Ángel Río: Universidad de Murcia

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 3, 721-728

Abstract: Abstract We prove that if G is a finite 2-generated p-group of nilpotence class at most 2 then the group algebra of G with coefficients in the field with p elements determines G up to isomorphisms.

Keywords: Group rings; Modular Isomorphism Problem; Groups of prime power order; 16U60; 16S34; 20C05; 20C10 (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-021-00182-w Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:52:y:2021:i:3:d:10.1007_s13226-021-00182-w

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-021-00182-w

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().