Search
Search Results
-
On the Cardinality Computation Problem for Regular Languages over Symmetric Groups
AbstractRepresentations of regular languages over symmetric groups in the form of finite automata and regular expressions are considered. The
NP -hard... -
Hochschild cohomology of symmetric groups and generating functions, II
We relate the generating functions of the dimensions of the Hochschild cohomology in any fixed degree of the symmetric groups with those of blocks of...
-
-
Heat Kernel on Lie Groups and Maximally Symmetric Spaces
This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original...
-
Resultant of an Equivariant Polynomial System with Respect to Direct Product of Symmetric Groups
In this note, we consider the resultant of systems of homogeneous multivariate polynomials, which are equivariant under the action of direct product...
-
Embeddings of the Symmetric Groups to the Space Cremona Group
We study embeddings of symmetric groups to the space Cremona group.
-
Three infinite families of chiral 4-polytopes with symmetric automorphism groups
In this paper, we give three infinite families of chiral 4-polytopes, with the automorphism group of each member of a family being symmetric. This...
-
Symmetric Galois groups under specialization
Given an irreducible bivariate polynomial f ( t, x ) ∈ ℚ[ t, x ], what groups H appear as the Galois group of f ( t 0 , x ) for infinitely many t 0 ∈ ℚ? How...
-
Symmetric Lévy Processes on Nilpotent Groups
This chapter anticipates on later results that show how the limit theorems of Chaps. 5 and...
-
The number of labeled n-ary abelian groups and totally symmetric medial quasigroups
We demonstrate that there are an equal number of the four following labeled (i.e., not up to isomorphism) structures over any finite set: abelian...
-
Adjoint Representations of Symmetric Groups
We study the restriction to the symmetric group,...
-
Equivariant Euler Characteristics of Subgroup Complexes of Symmetric Groups
Equivariant Euler characteristics are important numerical homotopy invariants for objects with group actions. They have deep connections with many...
-
Non-linear Sylow branching coefficients for symmetric groups
We study the restriction to Sylow subgroups of irreducible characters of symmetric groups. In particular, we give a precise description of the...
-
On 7-valent symmetric Cayley graphs of finite simple groups
Quite a lot of attention has been paid recently to the classification of symmetric Cayley graphs of non-abelian simple groups. Besides the known...
-
Relatively Maximal Subgroups of Odd Index in Symmetric Groups
Let 𝖃 be a class of finite groups which contains a group of order 2 and is closed under subgroups, homomorphic images, and extensions. We define the...
-
-
