On half-automorphisms of certain Moufang loops with even order

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10188761" target="_blank" >RIV/00216208:11320/13:10188761 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.jalgebra.2013.03.026" target="_blank" >http://dx.doi.org/10.1016/j.jalgebra.2013.03.026</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jalgebra.2013.03.026" target="_blank" >10.1016/j.jalgebra.2013.03.026</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On half-automorphisms of certain Moufang loops with even order

Popis výsledku v původním jazyce

A half-isomorphism phi :G -> K between multiplicative systems G and K is a bijection from G onto K such that phi(ab) is an element of {phi(a)phi(b), phi(b)phi(a)} for any a,b is an element of G. It was shown by Scott (1957) [8] that if G is a group thenphi is either an isomorphism or an anti-isomorphism. This, along with Frobenius' original papers on character theory, was used to prove that a finite group is determined by its group determinant. It was then shown by Gagola and Giuliani (2012) [5] that Scott's result carries over to Moufang loops of odd order. However, such a result does not hold for all Moufang loops that are of even order. Here we look at certain Moufang loops of even order and determine under what conditions is a half-automorphism forced to be either an automorphism or an anti-automorphism.

Název v anglickém jazyce

On half-automorphisms of certain Moufang loops with even order

Popis výsledku anglicky

A half-isomorphism phi :G -> K between multiplicative systems G and K is a bijection from G onto K such that phi(ab) is an element of {phi(a)phi(b), phi(b)phi(a)} for any a,b is an element of G. It was shown by Scott (1957) [8] that if G is a group thenphi is either an isomorphism or an anti-isomorphism. This, along with Frobenius' original papers on character theory, was used to prove that a finite group is determined by its group determinant. It was then shown by Gagola and Giuliani (2012) [5] that Scott's result carries over to Moufang loops of odd order. However, such a result does not hold for all Moufang loops that are of even order. Here we look at certain Moufang loops of even order and determine under what conditions is a half-automorphism forced to be either an automorphism or an anti-automorphism.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Journal of Algebra

ISSN

0021-8693

e-ISSN

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Svazek periodika

386

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

11

Strana od-do

131-141

Kód UT WoS článku

000319714100006

EID výsledku v databázi Scopus

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