When are inner mapping groups generated by conjugation maps?

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10189038" target="_blank" >RIV/00216208:11320/13:10189038 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s00013-013-0561-9" target="_blank" >http://dx.doi.org/10.1007/s00013-013-0561-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00013-013-0561-9" target="_blank" >10.1007/s00013-013-0561-9</a>

Result language

angličtina

Original language name

When are inner mapping groups generated by conjugation maps?

Original language description

A subloop of a loop Q is said to be normal if it is stabilized by all maps in the inner mapping group of Q. Here we show that in many cases, the inner mapping group of a Moufang loop is actually generated by conjugation maps. This includes any Moufang loop whose cubes generate either the entire loop or a subloop of index three. Such a result can be an extremely useful tool when proving that certain subloops are indeed normal just by showing that they are stabilized by the conjugation maps.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Archiv der Mathematik

ISSN

0003-889X

e-ISSN

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Volume of the periodical

101

Issue of the periodical within the volume

3

Country of publishing house

CH - SWITZERLAND

Number of pages

6

Pages from-to

207-212

UT code for WoS article

000324374900002

EID of the result in the Scopus database

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