Moufang loops with nonnormal commutative centre. (10th May 2021)
- Record Type:
- Journal Article
- Title:
- Moufang loops with nonnormal commutative centre. (10th May 2021)
- Main Title:
- Moufang loops with nonnormal commutative centre
- Authors:
- GRISHKOV, ALEXANDER N.
ZAVARNITSINE, ANDREI V. - Abstract:
- Abstract: We construct two infinite series of Moufang loops of exponent 3 whose commutative centre (i. e. the set of elements that commute with all elements of the loop) is not a normal subloop. In particular, we obtain examples of such loops of orders 3 8 and 3 11 one of which can be defined as the Moufang triplication of the free Burnside group B (3, 3).
- Is Part Of:
- Mathematical proceedings of the Cambridge Philosophical Society. Volume 170:Part 3(2021)
- Journal:
- Mathematical proceedings of the Cambridge Philosophical Society
- Issue:
- Volume 170:Part 3(2021)
- Issue Display:
- Volume 170, Issue 3, Part 3 (2021)
- Year:
- 2021
- Volume:
- 170
- Issue:
- 3
- Part:
- 3
- Issue Sort Value:
- 2021-0170-0003-0003
- Page Start:
- 609
- Page End:
- 614
- Publication Date:
- 2021-05-10
- Subjects:
- 20N05
Mathematics -- Periodicals
510.5 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PSP ↗
- DOI:
- 10.1017/S0305004119000549 ↗
- Languages:
- English
- ISSNs:
- 0305-0041
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 16581.xml