Results 41 to 50 of about 1,094 (186)
Automorphisms of Some Magmas of Order $k+k^2$
Известия Иркутского государственного университета: Серия "Математика", 2018 This paper is devoted to the study of automorphisms of finite magmas and to the representation of the symmetric permutation group $ S_k $ and some of its subgroups by automorphism groups of finite magmas.
A.V. Litavrin
doaj +1 more source
ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS [PDF]
Journal of Algebraic Systems, 2019 Let $G$ be a finite non-abelian $p$-group and $L(G)$ denotes the absolute center of $G$. Also, let $Aut^{L}(G)$ and $Aut_c(G)$ denote the group of all absolute central and the class preserving automorphisms of $G$, respectively.
Rasoul Soleimani
doaj +1 more source
On universal‐homogeneous hyperbolic graphs and spaces and their isometry groups
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract The Urysohn space is the unique separable metric space that is universal and homogeneous for finite metric spaces, that is, it embeds any finite metric space any isometry between finite subspaces extends to an isometry of the whole space. We here consider the existence of a universal‐homogeneous hyperbolic space. We show that for δ>0$\delta >0$
Katrin Tent
wiley +1 more source
On Group Ring Automorphisms [PDF]
Algebras and Representation Theory, 2004 Let \(G\) be a finite group and \(R\) be a complete discrete valuation ring of characteristic \(0\). The authors study the group of those automorphisms \(\text{Outcent}(RG)\) of the group ring \(RG\) which fix the center of \(RG\) pointwise. As a main result of the paper the authors show that if \(B\) is a block of the group ring of \(G\) over the \(p\)
Hertweck, Martin, Nebe, Gabriele
openaire +1 more source
Fixed‐point posets of groups and Euler characteristics
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract Suppose that G$G$ is a group and Ω$\Omega$ is a G$G$‐set. For X$\mathcal {X}$ a set of subgroups of G$G$, we introduce the fixed‐point poset XΩ$\mathcal {X}_{\Omega }$. A variety of results concerning XΩ$\mathcal {X}_{\Omega }$ are proved as, for example, in the case when p$p$ is a prime and X$\mathcal {X}$ is a non‐empty set of finite non ...
Peter Rowley
wiley +1 more source
Examples and Counterexamples, 2023 A new strongly regular graph with parameters (81,30,9,12) is found as a graph invariant under certain subgroup of the full automorphism group of the previously known strongly regular graph discovered in 1981 by J. H. van Lint and A. Schrijver.
Dean Crnković, Andrea Švob
doaj +1 more source
Groups with conjugacy classes of coprime sizes
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract Suppose that x$x$, y$y$ are elements of a finite group G$G$ lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩∩⟨yG⟩$\langle x^G \rangle \cap \langle y^G \rangle$ is an abelian normal subgroup of G$G$ and, as a consequence, that if x$x$ and y$y$ are π$\pi$‐regular elements for some set of primes π$\pi$, then xGyG$x^G y^G$ is a π ...
R. D. Camina +8 more
wiley +1 more source
Automorphism groups of 2-groups
Journal of Algebra, 2006 It is conjectured that \(|G|\mid|\Aut(G)|\) for every nonabelian \(p\)-group \(G\). In this paper the following results are proven. Theorem. For every \(s\in\mathbb{N}\) there exists \(o(r,s)\in\mathbb{N}\) such that \(2^s\mid|G|\mid|\Aut(G)|\) for all \(2\)-groups \(G\) of coclass \(r\) and order at least \(o(r,s)\). -- Corollary.
openaire +1 more source
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
Automorphism Groups of Abelian p-Groups [PDF]
Proceedings of the American Mathematical Society, 1975 Let r be the automorphism group of a nonelementary reduced abelian p-group, p > 5. It is shown that every noncentral norinal subgroup of r contains a noncentral elementary abelian normal p-subgroup of r of rank at least 2. 1. The result. Throughout the following, G is a reduced p-primary abelian group, p > 5, and F is the group of all automorphisms of ...
openaire +2 more sources