Results 91 to 100 of about 11,763 (233)
Characterizing Inner Automorphisms and Realizing Outer Automorphisms [PDF]
Advances in Group Theory and ApplicationsWe give elementary proofs of the following two theorems on automorphisms of a finite group G: (1) An automorphism of G is inner if and only if it extends to an automorphism of every finite group containing G.
Benjamin Sambale
doaj +1 more source
Groups with a finite Busemann boundary are virtually cyclic
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract This note is a continuation of the study of the relationship between the geometry of Cayley graphs and the size of its metric‐functional boundary. We show that if there exists a Cayley graph with finitely many Busemann points, then the underlying group is virtually cyclic.
Corentin Bodart +2 more
wiley +1 more source
On inner automorphisms and certain central automorphisms of groups
Indian Journal of Pure and Applied Mathematics, 2014 Let \(G\) be a group and \(M,N\trianglelefteq G\). By definition an automorphism \(\alpha\) of \(G\) belongs to \(\Aut^M_N(G)\) if and only if \(g^{-1}g^\alpha\in M\) for all \(g\in G\) and \(\alpha\) fixes \(N\) elementwise. The paper under review is devoted to the study of groups \(G\) in which one of the following holds: \(\mathrm{Inn}(G)=\Aut^M_N(G)
Azhdari, Zahedeh +1 more
openaire +2 more sources
Inner Automorphisms of Finite Semifields [PDF]
, 2010 EnUnlike finite fields, finite semifields possess inner automorphisms. A further surprise is that even noncommutative semifields possess inner automorphisms. We compute inner automorphisms and automorphism groups for semifields quadratic over the nucleus,
Wene , G. P.
core +2 more sources
Fine multidegrees, universal Gröbner bases, and matrix Schubert varieties
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We give a criterion for a collection of polynomials to be a universal Gröbner basis for an ideal in terms of the multidegree of the closure of the corresponding affine variety in (P1)N$(\mathbb {P}^1)^N$. This criterion can be used to give simple proofs of several existing results on universal Gröbner bases.
Daoji Huang, Matt Larson
wiley +1 more source
Heights on ‘hybrid orbits’ in Shimura varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley +1 more source
Lambda-rings of automorphisms [PDF]
, 2020 . The set of automorphisms of a single algebra forms a group under composition. This paper studies the full set of all automorphisms of all algebra structures in a given abstract class on a fixed finite set.
Jonathan D H Smith
core
On tensor squares of irreducible representations of almost simple groups. I
Моделирование и анализ информационных систем, 2011 Almost simple SM_m-groups are considered. A group G is called a SM_m-group if the tensor square of any irreducible representation is decomposed into the sum of its irreducible representations with multiplicities not greater than m.
S. V. Polyakov
doaj
Journal of Combinatorial Designs, Volume 34, Issue 7, Page 306-329, July 2026.ABSTRACT In this paper, we study and characterise the natural embedding of the twisted triality hexagon T ( q 3 , q ) in PG ( 7 , q 3 ). We begin by describing the possible intersections of subspaces of PG ( 7 , q 3 ) with T ( q 3 , q ). Then, we provide conditions on a set of lines ℒ, which ensure that ℒ forms the line set of a naturally embedded ...
Sebastian Petit, Geertrui Van de Voorde
wiley +1 more source
Automorphic Decompositions of Graphs
Graphs and Combinatorics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beeler, Robert A., Jamison, Robert E.
openaire +3 more sources