The 2-generator restricted burnside group of exponent 7

We report on our construction of a power-commutator presentation for R(2, 7), the largest finite 2-generator group of exponent 7. Our calculations show that R(2, 7) has order 720416, nilpotency class 28, and derived length 5. The calculations also imply that the associated Lie ring of R(2, 7) satisf...

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Hauptverfasser: O'Brien, E, Vaughan-Lee, M
Format: Journal article
Sprache:English
Veröffentlicht: 2002
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author O'Brien, E
Vaughan-Lee, M
author_facet O'Brien, E
Vaughan-Lee, M
author_sort O'Brien, E
collection OXFORD
description We report on our construction of a power-commutator presentation for R(2, 7), the largest finite 2-generator group of exponent 7. Our calculations show that R(2, 7) has order 720416, nilpotency class 28, and derived length 5. The calculations also imply that the associated Lie ring of R(2, 7) satisfies relations which are not consequences of the multilinear identities which hold in the associated Lie rings of groups of exponent 7.
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spelling oxford-uuid:bca5f88a-0ee8-4b5a-944c-cbc927fba1192022-03-27T05:25:51ZThe 2-generator restricted burnside group of exponent 7Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bca5f88a-0ee8-4b5a-944c-cbc927fba119EnglishSymplectic Elements at Oxford2002O'Brien, EVaughan-Lee, MWe report on our construction of a power-commutator presentation for R(2, 7), the largest finite 2-generator group of exponent 7. Our calculations show that R(2, 7) has order 720416, nilpotency class 28, and derived length 5. The calculations also imply that the associated Lie ring of R(2, 7) satisfies relations which are not consequences of the multilinear identities which hold in the associated Lie rings of groups of exponent 7.
spellingShingle O'Brien, E
Vaughan-Lee, M
The 2-generator restricted burnside group of exponent 7
title The 2-generator restricted burnside group of exponent 7
title_full The 2-generator restricted burnside group of exponent 7
title_fullStr The 2-generator restricted burnside group of exponent 7
title_full_unstemmed The 2-generator restricted burnside group of exponent 7
title_short The 2-generator restricted burnside group of exponent 7
title_sort 2 generator restricted burnside group of exponent 7
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