Results 41 to 50 of about 1,453 (167)

Full Automorphism Group of (m, 2)-Graph in Finite Classical Polar Spaces

Axioms
Let Q be the finite classical polar space of rank ν≥1 over Fq, and Qm be the set of all m-dimensional subspaces of Q. In this paper, we introduce the (m, 2)-graph with Qm as its vertex set, and two vertices P, Q are adjacent if and only if P + Q is an (m
Yang Zhang, Shuxia Liu, Liwei Zeng
doaj   +1 more source

CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP

پژوهش‌های ریاضی, 2021
In this paper we classify finite p-groups (p>2 )  with metacyclic automorphism  group.  Particularly we prove that the automorphism group of group G is metacyclic if and only if  G is cyclic of order  p^n.
Shirin Fouladi
doaj  

Hyperderivatives of the deformation series associated with arithmetic gamma values and characteristic p$p$ multiple zeta values

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
wiley   +1 more source

Automorphisms of Curves

Journal of Nonlinear Mathematical Physics, 2021
Consider the family of smooth curves \(w^i=w^i(x)\), \(i=1,\dots m,\) in \(\mathbb R^{m+1}\). The aim of the paper is to study transformations of the form \(\overline{x}=F(x,\dots,w^j_s,\dots)\), \(\overline{w}^i=F^i(x,\dots,w^j_s,\dots)\) and their higher order derivatives \(\overline{w}^i_r=F^i_r(x,\dots,w^j_s,\dots)\), where \(w^j_s=\frac{d^sw^j}{dx^
Tryhuk, Václav, Chrastinová, Veronika
openaire   +1 more source

Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let q$q$ be a power of a fixed prime p$p$. We classify up to isomorphism all simple saturated fusion systems on a certain class of p$p$‐groups constructed from the polynomial representations of SL2(q)$\operatorname{SL}_2(q)$, which includes the Sylow p$p$‐subgroups of GL3(q)$\mathrm{GL}_3(q)$ and Sp4(q)$\mathrm{Sp}_4(q)$ as special cases.
Valentina Grazian, Chris Parker, Jason Semeraro, Martin van Beek   +3 more
wiley   +1 more source

The Orbits of Twisted Crossed Cubes

Mathematics
Two vertices u and v in a graph G=(V,E) are in the same orbit if there exists an automorphism ϕ of G such that ϕ(u)=v. The orbit number of a graph G, denoted by Orb(G), is the number of orbits that partition V(G).
Jia-Jie Liu
doaj   +1 more source

Permutation matrices and matrix equivalence over a finite field

International Journal of Mathematics and Mathematical Sciences, 1981
Let F=GF(q) denote the finite field of order q and Fm×n the ring of m×n matrices over F. Let 𝒫n be the set of all permutation matrices of order n over F so that 𝒫n is ismorphic to Sn.
Gary L. Mullen
doaj   +1 more source

Automorphism liftable modules [PDF]

Commentationes Mathematicae Universitatis Carolinae, 2018
The article introduces a notion of automorphism liftable modules and discusses its basic properties. This notion is thereafter used to characterize several well-known specific rings, like semisimple, perfect, (semi-)hereditary rings, respectively. Note that in this paper, semisimple rings and completely reducible rings are the same, i.e., they are ...
Selvaraj, Chelliah, Santhakumar, Sudalaimuthu   +1 more
openaire   +2 more sources

p$p$‐adic equidistribution and an application to S$S$‐units

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We prove a Galois equidistribution result for torsion points in Gmn$\mathbb {G}_m^n$ in the p$p$‐adic setting for test functions of the form log|F|p$\log |F|_p$ where F$F$ is a nonzero polynomial with coefficients in the field of complex p$p$‐adic numbers.
Gerold Schefer
wiley   +1 more source

Centralizers of automorphisms permuting free generators

Open Mathematics, 2019
By σ ∈ Skm we denote a permutation of the cycle-type km and also the induced automorphism permuting subscripts of free generators in the free group Fkm.
Macedońska Olga, Tomaszewski Witold
doaj   +1 more source