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Publication Date:
January 2012
ISSN:
1435-4446
DOI:
10.1515/JGT.2010.089

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Editor-in-Chief: Wilson, John S.

Managing Editor: Howie, James / Kramer, Linus / Parker, Christopher W.

null Abért, Miklós / Borovik, Alexandre V. / Boston, Nigel / Bridson, Martin R. / Broue, Michel / Giovanni, Francesco / Guralnick, Robert / Jaikin Zapirain, Andrei / Kantor, William M. / Khukhro, Evgenii I. / Kochloukova, Dessislava H. / Malle, Gunter / Olshanskii, Alexander / Robinson, Derek J.S. / Willis, George

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Abelian by cyclic groups resulting in Moufang loops

1Department of Mathematics, Bowling Green State University, Bowling Green, OH 43403, United States

Citation Information: Journal of Group Theory. Volume 15, Issue 1, Pages 1–7, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/JGT.2010.089, January 2012

Publication History:

Received: 29/05/2010;
Revised: 22/12/2010;
Published Online: 28/02/2012

Abstract

In 1999 Orin Chein and Andrew Rajah Comment. Math. Univ. Carolin. 41: 237244, 2000 presented the following question. If a Moufang loop G contains a normal abelian subgroup N of odd order such that G/N is cyclic, must G be a group? Here we prove that a Moufang loop that is an extension of an abelian group of odd order by a cyclic group has a normal subgroup of index dividing 3.

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