Results 71 to 80 of about 3,182 (219)
Orbit decidability and the conjugacy problem for some extensions of groups [PDF]
, 2009 Given a short exact sequence of groups with certain conditions, 1 ? F ? G ? H ? 1, weprove that G has solvable conjugacy problem if and only if the corresponding action subgroupA 6 Aut(F) is orbit decidable.
Ventura, Enric +2 more
core
Harada's conjecture II for the finite general linear groups and unitary groups [PDF]
International Journal of Group TheoryK. Harada conjectured for any finite group $G$, the product of sizes of all conjugacy classes is divisible by the product of degrees of all irreducible characters. We study this conjecture when $G$ is the general linear group over a finite field. We show
Masahiro Sugimoto
doaj +1 more source
On the automorphisms of the power semigroups of a numerical semigroup
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
Base sizes for simple groups and a conjecture of Cameron [PDF]
, 2009 Let G be a permutation group on a finite set ?. A base for G is a subset B C_ ? whose pointwise stabilizer in G is trivial; we write b(G) for the smallest size of a base for G. In this paper we prove that b(G) ?
Burness, TC +5 more
core +1 more source
Classification and Dynamics of Class of ξ(as)-QSO
Journal of Mathematical and Fundamental Sciences, 2020 The current study provides a new class of ξ(as)-QSO defined on 2D simplex and classifies it into 18 non-conjugate (isomorphic) classes. This classification is based on their conjugacy and the remuneration of coordinates.
Izzat Qaralleh +2 more
doaj +1 more source
Finite non-nilpotent groups with few non-normal non-cyclic subgroups [PDF]
International Journal of Group Theory, 2017 For a finite group $G$, let $nu_{nc}(G)$ denote the number of conjugacy classes of non-normal non-cyclic subgroups of $G$. We characterize the finite non-nilpotent groups whose all non-normal non-cyclic subgroups are conjugate.
Hamid Mousavi, Zahra Rezazadeh
doaj +1 more source
Conjugacy Classes of Reflections of Maps
Journal of Mathematical Sciences, 2017 This paper considers how many conjugacy classes of reflections a map can have, under various transitivity conditions. It is shown that for vertex- and for face-transitive maps there is no restriction on their number or size, whereas edge-transitive maps can have at most four classes of reflections.
openaire +2 more sources
Context‐free graphs and their transition groups
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli +3 more
wiley +1 more source
On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms [PDF]
, 2013 We prove that even Coxeter groups, whose Coxeter diagrams contain no (4, 4, 2) triangles, are conjugacy separable. In particular, this applies to all right-angled Coxeter groups or word hyperbolic even Coxeter groups. For an arbitrary Coxeter group W, we
Caprace, Pierre-Emmanuel +1 more
core
Groups with conjugacy classes of coprime sizes [PDF]
Suppose that x, y are elements of a finite group G lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩ ∩ ⟨yG⟩ is an abelian normal subgroup of G and, as a consequence, that if x and y are π‐regular elements for some set of primes π, then xG ...
Parker, C. +8 more
core +7 more sources