APPLICATION OF COMPUTERS TO QUESTIONS LIKE THOSE OF BURNSIDE, II

DOI10.1142/S0218196796000337zbMath0867.20003OpenAlexW4230058526MaRDI QIDQ4335881

E. A. O'Brien, M. F. Newman

Publication date: 5 June 1997

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196796000337

zbMATH Keywords

algorithmsautomorphismsrestricted Burnside groupspower-conjugate presentationsenforcing exponent lawslaws in \(p\)-groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15) Software, source code, etc. for problems pertaining to group theory (20-04) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Engel conditions (20F45)

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Invariants for metabelian groups of prime power exponent, colorings, and stairs, THE 2-GENERATOR RESTRICTED BURNSIDE GROUP OF EXPONENT 7, Groups and nilpotent Lie rings whose order is the sixth power of a prime., Groups with exponent six, CONSTRUCTING AUTOMORPHISM GROUPS OF p-GROUPS, A classification of some unsoluble varieties of groups of exponent four, The construction of finite solvable groups revisited., Groups of prime-power order with a small second derived quotient., Filters compatible with isomorphism testing, Universal covers of finite groups, Unnamed Item, Computing automorphism groups and testing isomorphisms for modular group algebras., Some Lie rings associated with Burnside groups, Finite 3-groups of class 3 whose elements commute with their automorphic images., Automorphic forms and rational homology 3-spheres, Some 3-Generator, 3-Relation Finite 2-Groups, Free Quotients of Finitely Presented Groups, A note on the existence of noninner automorphisms of order p in some finite p-groups, COMPUTING NILPOTENT QUOTIENTS OF ASSOCIATIVE ALGEBRAS AND ALGEBRAS SATISFYING A POLYNOMIAL IDENTITY, Computing with Abelian sections of finitely presented groups, Not every 𝑝-group can be generated by elements of the same order, The groups with order \(p^7\) for odd prime \(p\).

Uses Software

• Cayley
• QUOTPIC