6 papers
On pro--groups with a single defining relator
A. F. Krasnikov
In this paper we establish necessary condition for the Freiheitsatz of Magnus can be extended to free pro--groups
The theorems on freedom for free sums of Lie algebras with a relations
A. F. Krasnikov
In this paper we prove the theorem on freedom for free sums of Lie algebras with a single relation (analogous with the well-known result of Shirshov) and a generalized Freiheitssat…
The theorems on freedom for free products with a relations
A. F. Krasnikov
In this paper we prove the theorem on freedom for free products with a single relation (analogous with the well-known result of Magnus) and a generalized Freiheitssatz for free pro…
The theorems on freedom for relatively free Lie algebras with a relations
A. F. Krasnikov
In this paper we prove the theorem on freedom for relatively free Lie algebras with a single relation (analogous with the well-known result of Shirshov) and a generalized Freiheits…
The theorems on freedom for relatively free groups with a relations
A. F. Krasnikov
In this paper we prove the theorem on freedom for relatively free groups with a single relation (analogous with the well-known result of Magnus) and a generalized Freiheitssatz for…
The theorems on freedom for relatively free Lie algebras and groups with a single relation
Alexander Krasnikov
In this paper we prove the theorem on freedom for relatively free groups with a single relation (analogous with the well-known result of Magnus) and the theorem on freedom for rela…