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- Eugene Plotkin, Andrei Semenov, Nikolai Vavilov
- IJAC
- 1998

We depict the weight diagrams of basic and adjoint representations of complex simple Lie algebras/algebraic groups and describe some of their uses.

- Robert M. Guralnick, Eugene Plotkin, Aner Shalev
- IJAC
- 2007

In the paper we pose and discuss new Burnside-type problems, where the role of nilpo-tency is replaced by that of solvability.

- Elena Aladova, Eugene Plotkin, Tatjana L. Plotkin
- Mathematics in Computer Science
- 2013

The aim of this work is to study the notions of elementarily equivalent and isotypic knowledge bases. We prove that isotypic knowledge bases are informationally equivalent.

- NIKOLAI GORDEEV, FRITZ GRUNEWALD, BORIS KUNYAVSKII, EUGENE PLOTKIN

We obtain the following characterization of the solv-able radical R(G) of any finite group G: R(G) coincides with the collection of g ∈ G such that for any 3 elements a 1 , a 2 , a 3 ∈ G the subgroup generated by the elements g, a i ga −1 i , i = 1, 2, 3, is solv-able. In particular, this means that a finite group G is solvable if and only if in each… (More)

- Eugene Plotkin, Typeset By, A M S-T
- 1996

This paper is devoted to the study of the surjective stability of the K 1 {functor for Chevalley groups of type E 7. This is a particular case of the stability problem for Chevalley groups, which was posed by H. Bass. In the paper, surjective stability of the K 1 {functor is proved under natural conditions on the dimension of the maximal spectrum of a ring… (More)

- Fritz Grunewald, Boris Kunyavskii, Eugene Plotkin
- IJAC
- 2013

- Eugene Plotkin, Typeset By, A M S-T
- 2007

The paper is devoted to surjective stability of K 1 {functor for Chevalley groups of type E 7. This is a particular case of stability problem for Chevalley groups, which was posed by H.Bass. In the paper surjective stability of K 1 {functor is proved under natural conditions on dimension of maximal spectrum of a ring and, independently, under some special… (More)

- Jun Morita, Eugene Plotkin
- 2007

We will show the Gauss decomposition with prescribed torus elements for a Kac-Moody group over a field in general case.

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