Zobrazeno 1 - 10
of 95
pro vyhledávání: '"20B99"'
Autor:
Zhao, Deke
The article is concerned with the Foulkes characters of wreath products, which are block characters of wreath products, i.e., the positive-definite class functions depending only on the length of its elements. Inspired by the works of Gnedin--Gorin--
Externí odkaz:
http://arxiv.org/abs/2412.05792
Autor:
Natkaniec, Tomasz
A $f\colon\mathbb{R}\to\mathbb{R}$ is called Hamel function if its graph is a Hamel basis of the linear space $\mathbb{R}^2$ over rationals. We construct, assuming CH, a free group of the size $2^\mathfrak{c}$ contained in the class of all Hamel func
Externí odkaz:
http://arxiv.org/abs/2405.00952
We study two classes of permutations intimately related to the visual proof of Spitzer's lemma and Huq's generalization of the Chung-Feller theorem. Both classes of permutations are counted by the Fuss-Catalan numbers. The study of one class leads to
Externí odkaz:
http://arxiv.org/abs/2310.06288
In 1953, Carlitz~\cite{Car53} showed that all permutation polynomials over $\F_q$, where $q>2$ is a power of a prime, are generated by the special permutation polynomials $x^{q-2}$ (the inversion) and $ ax+b$ (affine functions, where $0\neq a, b\in \
Externí odkaz:
http://arxiv.org/abs/2309.17424
We consider twisted permutation codes, a class of frequency permutation arrays obtained from finite groups with multiple permutation representations of the same degree, introduced by Gillespie, Praeger and Spiga (and later studied by Akbari, Gillespi
Externí odkaz:
http://arxiv.org/abs/2304.07126
Autor:
Reimers, Fabian, Sezer, Müfit
We consider a finite permutation group acting naturally on a vector space $V$ over a field $\Bbbk$. A well known theorem of G\"obel asserts that the corresponding ring of invariants $\Bbbk[V]^G$ is generated by invariants of degree at most $\binom{\d
Externí odkaz:
http://arxiv.org/abs/2211.11091
In this paper, we showed how a group acting regularly and a diagonal group are embedded into the wreath products in there product action using the Cartesian Decomposition.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2211.00418
For a finite connected graph $\mathcal{E}$ with set of edges $E$, a finite $E$-generated group $G$ is constructed such that the set of relations $p=1$ satisfied by $G$ (with $p$ a word over $E\cup E^{-1}$) is closed under deletion of generators (i.e.
Externí odkaz:
http://arxiv.org/abs/2208.03273
Autor:
Eberhard, Sean
Here is a simplified proof that every sharply transitive subset of $\mathrm{PGL}_2(K)$ is a coset of a subgroup.
Comment: 3 pages. Referee's comments incorporated
Comment: 3 pages. Referee's comments incorporated
Externí odkaz:
http://arxiv.org/abs/2105.02760
When ${\bf t} := \langle t_1,t_2,\ldots,t_k\rangle$ is a sequence of transpositions on the finite set $n:=\{0,1,\ldots,n-1\}$, then $\bigcirc{\bf t}:= t_1\circ t_2\circ\cdots\circ t_k$ denotes the compositional product of the sequence. Our paper trea
Externí odkaz:
http://arxiv.org/abs/1904.09694