The 2-generator restricted burnside group of exponent 7

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...

书目详细资料
Main Authors:	O'Brien, E, Vaughan-Lee, M
格式:	Journal article
语言:	English
出版:	2002

相似书籍

DERIVED LENGTHS OF BURNSIDE GROUPS OF EXPONENT-4
由: Vaughanlee, M
出版: (1979)

Bounds in the restricted Burnside problem
由: Vaughan-Lee, M, et al.
出版: (1999)

On Zel'manov's solution of the restricted Burnside problem
由: Vaughan-Lee, M
出版: (1998)

THE RESTRICTED BURNSIDE PROBLEM
由: Vaughanlee, M
出版: (1985)

Some Lie rings associated with Burnside groups
由: Newman, M, et al.
出版: (1998)

UPPER-BOUNDS IN THE RESTRICTED BURNSIDE PROBLEM
由: Vaughanlee, M, et al.
出版: (1993)

The burnside problem and identities in groups /
由: 321180 Adian, S. I.
出版: (1979)

Burnside Chromatic Polynomials of Group-Invariant Graphs
由: White Jacob A.
出版: (2023-02-01)

The Burnside bicategory of groupoids
由: Miller, Haynes
出版: (2021)

Neutrosophic Extended Triplet Group Action and Burnside’s Lemma
由: Moges Mekonnen Shalla, et al.
出版: (2019-12-01)

An insoluble (p − 2)-Engel group of exponent p
由: Vaughan-Lee, M
出版: (2010)

Finite groups of bounded exponent
由: Groves, D, et al.
出版: (2003)

Engel-4 groups of exponent 5
由: VaughanLee, M
出版: (1997)

The groups with order p(7) for odd prime p
由: O'Brien, E, et al.
出版: (2005)

Combinatorial Estimations on Burnside Type Problems
由: Anton Beletskiy, et al.
出版: (2024-02-01)

Burnside of Duntrune: An Essay in Praise of Ordinariness
由: W. F. H. Nicolaisen
出版: (1985-06-01)

The groups with order p7 for odd prime p
由: O'Brien, E, et al.
出版: (2005)

John Burnside, On Henry Miller: Or, How to Be an Anarchist
由: Wayne E. Arnold
出版: (2019-01-01)

Groups of order p^8 and exponent p
由: Michael Vaughan-Lee
出版: (2015-12-01)

Children exploitation in John Burnside's The Dumb House
由: Aldhafeeri, Hilalah, et al.
出版: (2015)

The place of memory in John Burnside’s the locust room
由: Aldhafeeri, Hilalah, et al.
出版: (2016)

‘It was suddenly hard winter’: John Burnside’s Crossings
由: Julian Wolfreys
出版: (2015-05-01)

Montmort's problem, Burnside's Lemma and Bell's numbers
由: R. Avenhaus
出版: (2005-09-01)

Zeta function of the Burnside ring for Cp3
由: Juan Manuel Ramírez-Contreras, et al.
出版: (2023-03-01)

Engel-4 groups of exponent 5. II. Orders
由: Newman, M, et al.
出版: (1999)

Small exponent asymptotics
由: Fowler, A, et al.
出版: (2000)

John Burnside, The Music of Time: Poetry in the Twentieth Century
由: Wayne E. Arnold
出版: (2020-10-01)

Not every p-group can be generated by elements of the same order
由: O'Brien, E, et al.
出版: (2006)

Approximation and inequalities for the factorial function related to the Burnside’s formula
由: Xu You
出版: (2024-08-01)

Pioneers of representation theory : frobenius, burnside, schur, and braue /
由: 435546 Curtis, Charles W.
出版: (1999)

Eco-consciousness, dwelling and anxiety in selected works of John Burnside
由: Aldhafeeri, Hilalah Dughayyim S.
出版: (2017)

Toxins Pervading Post-Industrial Ecology in John Burnside's Glister
由: Ulaş Özgün
出版: (2019-12-01)

Exponential asymptotics with a small exponent
由: Kember, G, et al.
出版: (2000)

Sharp bounds for gamma and digamma function arising from Burnside's formula
由: Cristinel Mortici
出版: (2010-02-01)

Sharp bounds for gamma and digamma function arising from Burnside's formula
由: Cristinel Mortici
出版: (2010-02-01)

Social Reproduction at the End of Times: Jenni Fagan’s and John Burnside’s Degrowth Imaginaries
由: Arianna Introna
出版: (2019-05-01)

SOLVABILITY OF GROUPS OF EXPONENT 4
由: Doyle, J, et al.
出版: (1978)

A report on an investigation of failure of footings of a number of houses at Burnside, Adelaide, S A/
由: 514 Commonwealth Experimental Building Station, Sydney, et al.
出版: (1950)

LIE-RINGS OF GROUPS OF PRIME EXPONENT
由: Vaughanlee, M
出版: (1990)

Groups and nilpotent Lie rings whose order is the sixth power of a prime
由: Newman, M, et al.
出版: (2004)