A nilpotent quotient algorithm for graded Lie rings of prime characteristic is described. Thealgorithm has been implemented and applications have been made to the investigation of the associated Lie rings of Burnside groups. New results about Lie rings and Burnside groups are presented. These include detailed information on groups of exponent 5 and 7 and their associated Lie rings
AbstractThompson proved that every finite group with a fixed point free automorphism of prime order ...
We determine product presentations for the nilpotent Lie rings with order p7 where p ≥ 7 is prime, a...
The classification of the nilpotent orbits in the Lie algebra of a reductive algebraic group (over a...
A nilpotent quotient algorithm for graded Lie rings of prime characteristic is described. Thealgorit...
AbstractWe prove that there are 3p2+39p+344+24gcd(p−1,3)+11gcd(p−1,4)+2gcd(p−1,5) isomorphism types ...
It is well known that the restricted Burnside problem for a prime exponent p can be rephrased in ter...
It is well known that the restricted Burnside problem for a prime exponent p can be rephrased in ter...
AbstractWe consider groups in which the exponent divides a fixed prime-power. The multilinear identi...
AbstractLet L be a Z6-graded Lie ring with L0=0. We prove that L is soluble and the derived length o...
In this thesis we investigate the structure of locally nilpotent 5-Engel p-groups. We show that for ...
AbstractWe initiate a systematic study of the homotopy Lie algebra gR of a local commutative noether...
Making use of linear and homological algebra techniques we study the linearization map between the g...
We prove that there are 3p2+39p+344+24gcd(p-1,3)+11gcd (p-1,4)+2gcd(p-1,5) isomorphism types of grou...
AbstractLet G be a connected reductive group defined over an algebraically closed field k of charact...
AbstractThompson proved that every finite group with a fixed point free automorphism of prime order ...
AbstractThompson proved that every finite group with a fixed point free automorphism of prime order ...
We determine product presentations for the nilpotent Lie rings with order p7 where p ≥ 7 is prime, a...
The classification of the nilpotent orbits in the Lie algebra of a reductive algebraic group (over a...
A nilpotent quotient algorithm for graded Lie rings of prime characteristic is described. Thealgorit...
AbstractWe prove that there are 3p2+39p+344+24gcd(p−1,3)+11gcd(p−1,4)+2gcd(p−1,5) isomorphism types ...
It is well known that the restricted Burnside problem for a prime exponent p can be rephrased in ter...
It is well known that the restricted Burnside problem for a prime exponent p can be rephrased in ter...
AbstractWe consider groups in which the exponent divides a fixed prime-power. The multilinear identi...
AbstractLet L be a Z6-graded Lie ring with L0=0. We prove that L is soluble and the derived length o...
In this thesis we investigate the structure of locally nilpotent 5-Engel p-groups. We show that for ...
AbstractWe initiate a systematic study of the homotopy Lie algebra gR of a local commutative noether...
Making use of linear and homological algebra techniques we study the linearization map between the g...
We prove that there are 3p2+39p+344+24gcd(p-1,3)+11gcd (p-1,4)+2gcd(p-1,5) isomorphism types of grou...
AbstractLet G be a connected reductive group defined over an algebraically closed field k of charact...
AbstractThompson proved that every finite group with a fixed point free automorphism of prime order ...
AbstractThompson proved that every finite group with a fixed point free automorphism of prime order ...
We determine product presentations for the nilpotent Lie rings with order p7 where p ≥ 7 is prime, a...
The classification of the nilpotent orbits in the Lie algebra of a reductive algebraic group (over a...