Zobrazeno 1 - 10
of 694
pro vyhledávání: '"20E45"'
Autor:
Lohan, Tejbir, Maity, Chandan
We consider the adjoint action of the symplectic Lie group $\mathrm{Sp}(2n,\mathbb{C})$ on its Lie algebra $\mathfrak{sp}(2n,\mathbb{C})$. An element $X \in \mathfrak{sp}(2n,\mathbb{C})$ is called $\mathrm{Ad}_{\mathrm{Sp}(2n,\mathbb{C})}$-real if $
Externí odkaz:
http://arxiv.org/abs/2411.09575
An element of a group is called reversible if it is conjugate to its own inverse. Reversible elements are closely related to strongly reversible elements, which can be expressed as a product of two involutions. In this paper, we classify the reversib
Externí odkaz:
http://arxiv.org/abs/2410.01587
Autor:
Arushi, Venkataraman, Geetha
Publikováno v:
Bulletin of the Australian Mathematical Society, First View, p1-11, 27 August 2024
We find an upper bound for the number of groups of order $n$ up to isomorphism in the variety $G = A_pA_qA_r$, where $p$, $q$ and $r$ are distinct primes. We also find a bound on the orders and on the number of conjugacy classes of subgroups that are
Externí odkaz:
http://arxiv.org/abs/2409.08586
Autor:
Baik, Juhun
A topological group $G$ is topologically normally generated if there is $g \in G$ such that the normal closure of $g$ is dense in $G$. Suppose $S$ is a tame, infinite type surface whose $\mathrm{Map}(S)$ is CB generated. We prove that if the end spac
Externí odkaz:
http://arxiv.org/abs/2409.12700
Let $N$ be a normal subgroup of a finite group $G$. From a result due to Brauer, it can be derived that the character table of $G$ contains square submatrices which are induced by the $G$-conjugacy classes of elements in $N$ and the $G$-orbits of irr
Externí odkaz:
http://arxiv.org/abs/2409.11591
Autor:
DeBacker, Stephen, Haley, Jacob
Suppose $\mathfrak{g}$ is a semisimple complex Lie algebra and $\mathfrak{h}$ is a Cartan subalgebra of $\mathfrak{g}$. To the pair $(\mathfrak{g},\mathfrak{h})$ one can associate both a Weyl group and a set of Kac diagrams. There is a natural map fr
Externí odkaz:
http://arxiv.org/abs/2409.09255
Autor:
Kumar, Prashun, Venkataraman, Geetha
Publikováno v:
Journal of Algebra and Its Applications, 11 May 2024
Let m be a cube-free positive integer and let p be a prime such that p does not divide m. In this paper we find the number of conjugacy classes of completely reducible solvable cube-free subgroups in GL(2, q) of order m, where q is a power of p.
Externí odkaz:
http://arxiv.org/abs/2409.08571
Autor:
Kumar, Prashun, Venkataraman, Geetha
Publikováno v:
Communications in Algebra, 51 (8), 3182-3187, 2023
Let $m$ be a positive integer such that $p$ does not divide $m$ where $p$ is prime. In this paper we find the number of conjugacy classes of completely reducible cyclic subgroups in GL$(2, q)$ of order $m$, where $q$ is a power of $p$.
Externí odkaz:
http://arxiv.org/abs/2409.07244
Autor:
Souza, Gabriel de Arêa Leão
G. Navarro and P. H. Tiep, among others, have studied groups with few rational conjugacy classes or few rational irreducible characters. In this paper we look at the opposite extreme. Let $G$ be a finite group. Given a conjugacy class $K$ of $G$, we
Externí odkaz:
http://arxiv.org/abs/2409.03539
Let $p$ be a prime. In this paper we classify the $p$-structure of those finite $p$-separable groups such that, given any three non-central conjugacy classes of $p$-regular elements, two of them necessarily have coprime lengths.
Externí odkaz:
http://arxiv.org/abs/2408.02818