University of Oulu

Niemenmaa, Markku (2020) On finite commutative IP-loops with elementary abelian inner mapping groups of order p⁵. Commentationes mathematicae universitatis carolinae 61(4): 547-551. https://doi.org/10.14712/1213-7243.2020.034

On finite commutative IP-loops with elementary abelian inner mapping groups of order p

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Author: Niemenmaa, Markku1
Organizations: 1Department of Mathematical Sciences, University of Oulu, PL 3000, 90014 Oulu, Finland
Format: article
Version: accepted version
Access: open
Online Access: PDF Full Text (PDF, 0.1 MB)
Persistent link: http://urn.fi/urn:nbn:fi-fe202102266064
Language: English
Published: Charles University, 2020
Publish Date: 2021-02-26
Description:

Abstract

We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order p⁵ are centrally nilpotent of class at most two.

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Series: Commentationes mathematicae Universitatis Carolinae
ISSN: 0010-2628
ISSN-E: 1213-7243
ISSN-L: 0010-2628
Volume: 61
Issue: 4
Pages: 547 - 551
DOI: 10.14712/1213-7243.2020.034
OADOI: https://oadoi.org/10.14712/1213-7243.2020.034
Type of Publication: A1 Journal article – refereed
Field of Science: 111 Mathematics
Subjects:
Copyright information: © 2020 Institute of Mathematics CAS.