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Certain combinatorial topics in group theory [PDF]
This article is intended to be a survey on some combinatorial topics in group theory. The bibliography at the end is neither claimed to be exhaustive, nor is it necessarily connected with a reference in the text.
C K Gupta
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To each totally disconnected, locally compact topological group G and each group A of automorphisms of G, a pseudo-metric space of ``directions'' has been associated by U. Baumgartner and the second author. Given a Lie group G over a local field, it is a
Glockner, Helge, Willis, George A.
core
Power graphs of Brandt semigroups
In this paper, we give some classes of Brandt semigroups which can be uniquely determined by their power graphs. Additionally, it is proved that the completely 0-simple semigroup whose automorphism group is same as that of its power graph is precisely ...
Boxing Yang +3 more
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Time Automorphisms on C*-Algebras
Applications of fractional time derivatives in physics and engineering require the existence of nontranslational time automorphisms on the appropriate algebra of observables.
R. Hilfer
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Bounding the order of automorphisms of certain curves
We study upper bounds on the order of automorphisms of non-singular curves $X$ satisfying at least one of the following hypothesis: 1) $X$ is an $m$-sheeted covering of exactly one non-singular curve of genus $\gamma$, where $m$ is prime; 2) the center ...
Torres, Fernando
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The classification of modular Lie superalgebras of type M
The natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements.
Ma Lili, Chen Liangyun
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On nilpotent filiform Lie algebras of dimension eight
The aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent ...
P. Barbari, A. Kobotis
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Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras
The natural filtration of the infinite-dimensional contact superalgebra over an algebraic closed field of positive characteristic is proved to be invariant under automorphisms by characterizing ad-nilpotent elements and the subalgebras generated by ...
Qiang Mu
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Classical R-Operators and Integrable Generalizations of Thirring Equations
We construct different integrable generalizations of the massive Thirring equations corresponding loop algebras g^σ in different gradings and associated ''triangular'' R-operators.
Taras V. Skrypnyk
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On Tensor Squares of Reducible Representations of Almost Simple Groups. II
Almost simple {SM}_m -groups are considered. A group G is called {SM}_m -group if the tensor square of any irreducible representation is decomposed into the sum of all characters with multiplicities not greater than m.
S. V. Polyakov
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