Free Quotients of Finitely Presented Groups

DOI10.1080/10586458.1996.10504338zbMath0867.20030OpenAlexW2094314046MaRDI QIDQ4717335

Derek F. Holt, Sarah Rees

Publication date: 12 August 1997

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1047591147

zbMATH Keywords

relationsalgorithmsBianchi groupssubgroups of finite indexPicard groupsfinitely presented groupscongruence subgroupsfree nilpotent groupsTietze transformationsfree quotients

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Nilpotent groups (20F18) Free nonabelian groups (20E05)

Related Items (1)

Proving Finitely Presented Groups are Large by Computer

Uses Software

• GAP
• QUOTPIC

Cites Work

• APPLICATION OF COMPUTERS TO QUESTIONS LIKE THOSE OF BURNSIDE, II
• Non-normal, standard subgroups of the Bianchi groups
• Generators and relations for certain special linear groups

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