84
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

The modular group algebras of p-groups of maximal class II

& ORCID Icon
Pages 761-771 | Received 28 Jun 2017, Accepted 16 Jun 2018, Published online: 19 Feb 2019
 

Abstract

The modular isomorphism problem is settled for 3-groups of maximal class but two families of groups. Moreover, the conjecture that the ideals belonging to the lower central series of a group base are determined by the structure of the group algebra is refuted in greatest generality by virtue of a single group of order 81 of maximal class, and it is proved that the nilpotency class is determined by the structure of the group algebra for p-groups of maximal class.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The research of the first author was supported by the Bialystok University of Technology grant S/WI/1/2014 and funded by resources for research by the Ministry of Science and Higher Education of Poland. These resources also funded the stay of the second author at Bialystok University, who was also supported by University of Nyíregyháza grant No. IHK/200-13/2017.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,187.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.