Zobrazeno 1 - 10
of 34
pro vyhledávání: '"ZVONKIN, ALEXANDER K."'
Motivated by their research on automorphism groups of pseudo-real Riemann surfaces, Bujalance, Cirre and Conder have conjectured that there are infinitely many primes $p$ such that $p+2$ has all its prime factors $q\equiv -1$ mod~$(4)$. We use theore
Externí odkaz:
http://arxiv.org/abs/2401.00270
We use the Bateman--Horn Conjecture from number theory to give strong evidence of a positive answer to Peter Neumann's question, whether there are infinitely many simple groups of order a product of six primes. (Those with fewer than six were classif
Externí odkaz:
http://arxiv.org/abs/2209.06510
Autor:
JONES, GARETH A.1 G.A.Jones@maths.soton.ac.uk, ZVONKIN, ALEXANDER K.2 zvonkin@labri.fr
Publikováno v:
International Journal of Group Theory. Sep2024, Vol. 13 Issue 3, p257-269. 13p.
As a consequence of the classification of finite simple groups, the classification of permutation groups of prime degree is complete, apart from the question of when the natural degree $(q^n-1)/(q-1)$ of ${\rm PSL}_n(q)$ is prime. We present heuristi
Externí odkaz:
http://arxiv.org/abs/2106.00346
A recent construction by Amarra, Devillers and Praeger of block designs with specific parameters depends on certain quadratic polynomials, with integer coefficients, taking prime power values. The Bunyakovsky Conjecture, if true, would imply that eac
Externí odkaz:
http://arxiv.org/abs/2105.03915
We reinterpret ideas in Klein's paper on transformations of degree $11$ from the modern point of view of dessins d'enfants, and extend his results by considering dessins of type $(3,2,p)$ and degree $p$ or $p+1$, where $p$ is prime. In many cases we
Externí odkaz:
http://arxiv.org/abs/2104.12015
We present a number of examples to illustrate the use of small quotient dessins as substitutes for their often much larger and more complicated Galois (minimal regular) covers. In doing so we employ several useful group-theoretic techniques, such as
Externí odkaz:
http://arxiv.org/abs/2012.07107
As a consequence of the classification of finite simple groups, the classification of permutation groups of prime degree is complete, apart from the question of when the natural degree $(q^n-1)/(q-1)$ of ${\rm L}_n(q)$ is prime. We present heuristic
Externí odkaz:
http://arxiv.org/abs/2010.08023
Autor:
Pakovich, Fedor, Zvonkin, Alexander K.
In this paper we study pairs of polynomials with a given factorization pattern and such that the degree of their difference attains its minimum. We call such pairs of polynomials Davenport--Zannier pairs, or DZ-pairs for short. The paper is devoted t
Externí odkaz:
http://arxiv.org/abs/1509.07973