Action of correspondences on filtrations on cohomology and 0-cycles of Abelian varieties
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2151-9
Abstract: We prove that, given a symmetrically distinguished correspondence of a suitable complex abelian variety (which includes any abelian variety of dimension at most 5, powers of complex elliptic curves, etc.) that vanishes as a morphism… read more here.
Keywords: chow group; complex abelian; variety; automorphism ... See more keywords
The endomorphism monoids and automorphism groups of Cayley graphs of semigroups
Sign Up to like & getrecommendations! Published in 2017 at "Semigroup Forum"
DOI: 10.1007/s00233-017-9875-4
Abstract: In this note, we introduce the notions of color-permutable automorphisms and color-permutable vertex-transitive Cayley graphs of semigroups. As a main result, for a finite monoid S and a generating set C of S, we explicitly… read more here.
Keywords: graphs semigroups; color; endomorphism; automorphism ... See more keywords
Automorphism Groups of Circulant Digraphs With Applications to Semigroup Theory
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DOI: 10.1007/s00493-016-3403-0
Abstract: We characterize the automorphism groups of circulant digraphs whose connection sets are relatively small, and of unit circulant digraphs. For each class, we either explicitly determine the automorphism group or we show that the graph… read more here.
Keywords: groups circulant; digraphs applications; circulant digraphs; applications semigroup ... See more keywords
Automorphism-Extendable and Endomorphism-Extendable Modules
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DOI: 10.1007/s10958-020-04689-1
Abstract: This review paper is concerned with modules in which all automorphisms (endomorphisms) of submodules can be extended to endomorphisms of the entire module. We consider old results and obtain a number of new results. We… read more here.
Keywords: extendable endomorphism; automorphism extendable; extendable modules; automorphism ... See more keywords
The Bass–Jiang group for automorphism-induced HNN-extensions
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DOI: 10.1016/j.jalgebra.2018.10.014
Abstract: Abstract We use the Bass–Jiang group for automorphism-induced HNN-extensions to build a framework for the construction of tractable groups with pathological outer automorphism groups. We apply this framework to a strong form of a question… read more here.
Keywords: bass jiang; group automorphism; jiang group; automorphism ... See more keywords
Half-automorphisms of simple Moufang loops
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DOI: 10.1016/j.jalgebra.2019.10.032
Abstract: Abstract A half-isomorphism φ : G → K between multiplicative systems G and K is a bijection from G onto K such that φ ( a b ) ∈ { φ ( a ) φ… read more here.
Keywords: moufang loops; half automorphisms; automorphisms simple; simple moufang ... See more keywords
Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields
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DOI: 10.1016/j.jnt.2019.04.018
Abstract: We prove that the automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields are cyclic, and give a complete list of finite groups that can be realized as such automorphism… read more here.
Keywords: groups simple; finite; automorphism; automorphism groups ... See more keywords
Automorphism groups of superspecial curves of genus 4 overF11
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2020.106339
Abstract: Abstract In this paper, we explicitly determine the automorphism group of every nonhyperelliptic superspecial curve of genus 4 over F 11 . Our algorithm determining automorphism groups works for any nonhyperelliptic curve of genus 4… read more here.
Keywords: curves genus; superspecial curves; genus overf11; automorphism groups ... See more keywords
Weakly dual automorphism invariant and superfluous cotightness
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DOI: 10.1080/00927872.2019.1662915
Abstract: Abstract The aim of the present paper is to introduce and study the dual concepts of weakly automorphism invariant modules and essential tightness. These notions are non-trivial generalizations of both weakly projectivity, dual automorphism invariant… read more here.
Keywords: invariant modules; weakly dual; automorphism invariant; dual automorphism ... See more keywords
Vector Fields and Automorphism Groups of Danielewski Surfaces
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DOI: 10.1093/imrn/rnaa189
Abstract: In this paper, we study the Lie algebra of vector fields ${\operatorname{Vec}}(\textrm{D}_p)$ of a smooth Danielewski surface $\textrm{D}_p$. We prove that the Lie subalgebra $\langle{\operatorname{LNV}}(\textrm{D}_p) \rangle$ of ${\operatorname{Vec}}(\textrm{D}_p)$ generated by locally nilpotent vector fields is… read more here.
Keywords: danielewski surfaces; textrm; automorphism; operatorname ... See more keywords
Dynamic Frozen-Function Design for Reed-Muller Codes With Automorphism-Based Decoding
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DOI: 10.1109/lcomm.2022.3230202
Abstract: In this letter, we propose to add dynamic frozen bits to underlying polar codes with a Reed-Muller information set with the aim of maintaining the same sub-decoding structure in Automorphism Ensemble (AE) and lowering the… read more here.
Keywords: function design; dynamic frozen; reed muller; frozen function ... See more keywords