This is a survey of a still evolving subject. The purpose is to develop a theory of prounipotent (respectively pro-$p$) groups satisfying a prounipotent (respectively pro-$p $) identity that is parallel to the theory of PI-algebra
16 pagesWe initiate the study of some pro-p-groups arising from infinite-dimensional Lie theory. The...
A pro-p group G is a PF-group if it hits central series of closed subgroups (Ni)(i is an element of ...
In the theory of nonassociative algebras - like Lie algebras, alternative algebras, Jordan algebras ...
Around 1980 Brian Hartley conjectured that if the unit group of a torsion group algebra FG satisfies...
2010 Mathematics Subject Classification: Primary: 16R10; Secondary: 16R30, 17A01, 17B01, 17C05.This ...
AbstractAll PI-algebras R satisfy identities of the form: f∗[x, y] = Σ ασxσ(1)y1xσ(2)y2 … yn − 1xσ(n...
We prove that the identity checking problem in a finite semigroup S is co-NP-complete whenever S has...
In this thesis we use the Lie ring functors of Magnus and Lazard to investigate finite p-groups whic...
This paper surveys recent results concerning group rings KG whose group of units satisfies a group i...
This dissertation consists of two parts. Part I examines certain Burnside-type conditions on the mul...
AbstractAn algebra A is called a GI-algebra if its group of units A× satisfies a group identity. We ...
AbstractThe paper extends the concept of a Burnside algebra from finite groups to finite quasigroups...
In this thesis, we study the Lie algebra structure of the first Hochschild cohomology group H1(A,A) ...
AbstractLet G be a connected reductive group defined over an algebraically closed field k of charact...
All groups considered are finite. Let G be a group, p a prime dividing the order of G and P a Sylow ...
16 pagesWe initiate the study of some pro-p-groups arising from infinite-dimensional Lie theory. The...
A pro-p group G is a PF-group if it hits central series of closed subgroups (Ni)(i is an element of ...
In the theory of nonassociative algebras - like Lie algebras, alternative algebras, Jordan algebras ...
Around 1980 Brian Hartley conjectured that if the unit group of a torsion group algebra FG satisfies...
2010 Mathematics Subject Classification: Primary: 16R10; Secondary: 16R30, 17A01, 17B01, 17C05.This ...
AbstractAll PI-algebras R satisfy identities of the form: f∗[x, y] = Σ ασxσ(1)y1xσ(2)y2 … yn − 1xσ(n...
We prove that the identity checking problem in a finite semigroup S is co-NP-complete whenever S has...
In this thesis we use the Lie ring functors of Magnus and Lazard to investigate finite p-groups whic...
This paper surveys recent results concerning group rings KG whose group of units satisfies a group i...
This dissertation consists of two parts. Part I examines certain Burnside-type conditions on the mul...
AbstractAn algebra A is called a GI-algebra if its group of units A× satisfies a group identity. We ...
AbstractThe paper extends the concept of a Burnside algebra from finite groups to finite quasigroups...
In this thesis, we study the Lie algebra structure of the first Hochschild cohomology group H1(A,A) ...
AbstractLet G be a connected reductive group defined over an algebraically closed field k of charact...
All groups considered are finite. Let G be a group, p a prime dividing the order of G and P a Sylow ...
16 pagesWe initiate the study of some pro-p-groups arising from infinite-dimensional Lie theory. The...
A pro-p group G is a PF-group if it hits central series of closed subgroups (Ni)(i is an element of ...
In the theory of nonassociative algebras - like Lie algebras, alternative algebras, Jordan algebras ...
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