THE 2-GENERATOR RESTRICTED BURNSIDE GROUP OF EXPONENT 7

DOI10.1142/S0218196702001103zbMath1016.20010OpenAlexW2038406928MaRDI QIDQ4786336

E. A. O'Brien, Michael Vaughan-Lee

Publication date: 15 December 2002

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

Full work available at URL: https://doi.org/10.1142/s0218196702001103

zbMATH Keywords

Baker-Campbell-Hausdorff formularestricted Burnside groups\(p\)-quotient algorithmpower commutator presentationsLie relatorsgroups of exponent 7

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15) Associated Lie structures for groups (20F40)

Related Items (5)

Invariants for metabelian groups of prime power exponent, colorings, and stairs ⋮ Sanov's theorem on Lie relators in groups of exponent $p$ ⋮ Book Review: Groups of prime power order. Vol. 1 (with a foreword by Zvonimir Janko); Groups of prime power order. Vol. 2 ⋮ Bounds for the exponent of the Schur multiplier ⋮ The construction of finite solvable groups revisited.

Cites Work

• Descriptions of groups of prime-power order
• APPLICATION OF COMPUTERS TO QUESTIONS LIKE THOSE OF BURNSIDE, II
• Some Lie rings associated with Burnside groups
• The two generator restricted Burnside group of exponent five

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