Results 71 to 80 of about 18,810 (231)
On θ-commutators and the corresponding non-commuting graphs
Open Mathematics, 2017 The θ-commutators of elements of a group with respect to an automorphism are introduced and their properties are investigated. Also, corresponding to θ-commutators, we define the θ-non-commuting graphs of groups and study their correlations with other ...
Shalchi S., Erfanian A., Farrokhi DG M.
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Automorphism-invariant modules
, 2015 A module M is called automorphism-invariant if it is invariant under automorphisms of its injective envelope. In this paper, we study the en-domorphism rings of automorphism-invariant modules and their injective envelopes. We investigate some cases where
Tung, Nguyen Khanh +3 more
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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
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
ON THE GROWTH OF GROUPS AND AUTOMORPHISMS [PDF]
International Journal of Algebra and Computation, 2005 We consider the growth functions βΓ(n) of amalgamated free products Γ = A *C B, where A ≅ B are finitely generated, C is free abelian and |A/C| = |A/B| = 2. For every d ∈ ℕ there exist examples with βΓ(n) ≃ nd+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among Dehn functions.
openaire +4 more sources
Alternating groups as automorphism groups of Riemann surfaces
, 2006 In this work we give pairs of generators (x, y) for the alternating groups An, 5 ≤ n ≤ 19, such that they determine the minimal genus of a Riemann surface on which An acts as the automorphism group.
Martínez García, Ernesto +1 more
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p-groups for which each outer p-automorphism centralizes only p elements [PDF]
, 2014 An automorphism of a group is called outer if it is not an inner automorphism. Let G be a finite p-group. Then for every outer p-automorphism φ of G the subgroup CG(φ)={x∈ G | xφ=x} has order p if and only if G is of order at most ...
Ghoraishi, S. Mohsen, Abdollahi, Alireza
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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
Automorphism Groups of Small (3,3)-homogeneous Logics [PDF]
, 2010 We prove that (3,3)-homogeneous logics with 15 or 17 atoms are unique and for 16 atoms such logic does not exist. We also describe the automorphism groups for such logics and construct (3,3)-homogeneos logics (with 19 atoms) with either commutative ...
Sultanbekov F.
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