Results 31 to 40 of about 13,235 (234)
On automorphisms of biproducts [PDF]
Communications in Algebra, 2016 We study certain subgroups of the full group of Hopf algebra automorphisms of a biproduct. In the process interesting subgroups of certain permutation groups come into play.
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Braiding groups of automorphisms and almost-automorphisms of trees
Canadian Journal of Mathematics, 2023 AbstractWe introduce “braided” versions of self-similar groups and Röver–Nekrashevych groups, and study their finiteness properties. This generalizes work of Aroca and Cumplido, and the first author and Wu, who considered the case when the self-similar groups are what we call “self-identical.” In particular, we use a braided version of the Grigorchuk ...
Rachel Skipper, Matthew C. B. Zaremsky
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Automorphism groups of compact complex surfaces [PDF]
, 2021 We study automorphism groups and birational automorphism groups of compactcomplex surfaces. We show that the automorphism group of such surface $X$ isalways Jordan, and the birational automorphism group is Jordan unless $X$ isbirational to a product of ...
Prokhorov, Y., Shramov, C.
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On the group of automorphisms of the algebra of plural numbers
Дифференциальная геометрия многообразий фигур, 2023 The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov +2 more
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Flexible varieties and automorphism groups [PDF]
, 2013 Given an irreducible affine algebraic variety X of dimension n≥2 , we let SAut(X) denote the special automorphism group of X , that is, the subgroup of the full automorphism group Aut(X) generated by all one-parameter unipotent subgroups. We show that
Flenner, H. +4 more
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Some Classification Theorems and Endomorphisms in New Classes
Mathematics, 2023 Let ℧ be a prime ring of char(℧) ≠2 with its center Z. This article introduces new classes of endomorphisms and investigates how they relate to antiautomorphisms of prime rings and the commutativity of prime rings.
Hafedh Alnoghashi +4 more
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Automorphism-invariant modules [PDF]
, 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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Automorphism groups of rational surfaces [PDF]
, 2020 In this paper, we consider automorphism groups of rational surfaces which admit cuspidal anticanonical curves and have certain nontrivial automorphisms.
Uehara, Takato
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Symmetry in complex networks [PDF]
, 2008 We consider the size and structure of the automorphism groups of a variety of empirical ‘real-world’ networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric.
Sanchez-Garcia, Ruben J. +2 more
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Automorphisms of free braided nonassociative algebras of rank 2
Қарағанды университетінің хабаршысы. Математика сериясыWe prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip +2 more
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