Перегляд за автором "Sushchansky, V.I."

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5th International Algebraic Conference in Ukraine

Kirichenko, V.V.; Sushchansky, V.I.; Varbanets, P.D. (Algebra and Discrete Mathematics, 2006)

This volume contains papers based on the talks presented at the 5t h In- ternational Algebraic Conference in Ukraine, which took place in Ode ssa on July 20–27, 2005. The conference was organized by Odessa I. I. ...
A note to our paper “Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees”

Lavrenyuk, Y.V.; Sushchansky, V.I. (Algebra and Discrete Mathematics, 2005)

The results on automorphisms of homogeneous alternating groups are corrected and improved.
Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees

Lavrenyuk, Y.V.; Sushchansky, V.I. (Algebra and Discrete Mathematics, 2003)

A representation of homogeneous symmetric groups by hierarchomorphisms of spherically homogeneous rooted trees are considered. We show that every automorphism of a homogeneous symmetric (alternating) group is locally ...
Diagonal direct limits of finite symmetric and alternating groups

Lavrenyuk, Y.V.; Nekrashevych, V.V.; Sushchansky, V.I. (Algebra and Discrete Mathematics, 2010)

Diagonal direct limits of permutation groups are studied using their representations by homeomorphisms of the boundary of rooted trees. We describe a new method of classification of such permutation groups, and use this ...
Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups

Slupik, A.J.; Sushchansky, V.I. (Algebra and Discrete Mathematics, 2009)

Minimal generating sets of a Sylow p-subgroup Pn of the symmetric group Spn are characterized. The number of ordered minimal generating sets of Pn is calculated. The notion of the type of a generating set of Pn is introduced ...
Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups

Sushchansky, V.I.; Netreba, N.V. (Algebra and Discrete Mathematics, 2005)

We define a wreath product of a Lie algebra L with the one-dimensional Lie algebra L1 over Fp and determine some properties of this wreath product. We prove that the Lie algebra associated with the Sylow p-subgroup of ...

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Перегляд за автором "Sushchansky, V.I."

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