Results 1 to 10 of about 32,633 (193)
Groups with some central automorphisms fixing the central kernel quotient [PDF]
Journal of Mahani Mathematical Research, 2023 Let $G$ be a group. An automorphism $\alpha$ of a group $G$ is called a central automorphism, if $x^{-1}x^{\alpha}\in Z(G)$ for all $x\in G$.
Rasoul Soleimani
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On refined neutrosophic finite p-group [PDF]
Journal of Fuzzy Extension and Applications, 2023 The neutrosophic automorphisms of a neutrosophic groups G (I) , denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (
Sunday Adebisi, Florentin Smarandache
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Partial linear spaces with a rank 3 affine primitive group of automorphisms [PDF]
Journal of the London Mathematical Society, 2019 A partial linear space is a pair (P,L) where P is a non‐empty set of points and L is a collection of subsets of P called lines such that any two distinct points are contained in at most one line, and every line contains at least two points.
J. Bamberg +3 more
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Finite subgroups of automorphisms of K3 surfaces [PDF]
Forum of Mathematics, Sigma, 2021 We give a complete classification of finite subgroups of automorphisms of K3 surfaces up to deformation. The classification is in terms of Hodge theoretic data associated to certain conjugacy classes of finite subgroups of the orthogonal group of the K3 ...
Simon Brandhorst, Tommy Hofmann
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Lifting a prescribed group of automorphisms of graphs [PDF]
Proceedings of the American Mathematical Society, 2018 In this paper we are interested in lifting a prescribed group of automorphisms of a finite graph via regular covering projections. Let Γ \Gamma be a finite graph and let A u t (
P. Potočnik, Pablo Spiga
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3-Derivations and 3-Automorphisms on Lie Algebras
Mathematics, 2022 In this paper, first we establish the explicit relation between 3-derivations and 3- automorphisms of a Lie algebra using the differential and exponential map.
Haobo Xia
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On generalized quadrangles with a point regular group of automorphisms [PDF]
European journal of combinatorics (Print), 2017 A generalized quadrangle is a point-line incidence geometry such that any two points lie on at most one line and, given a line $\ell$ and a point $P$ not incident with $\ell$, there is a unique point of $\ell$ collinear with $P$.
Eric Swartz
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On the Automorphism Group of Polar Codes [PDF]
International Symposium on Information Theory, 2021 The automorphism group of a code is the set of permutations of the codeword symbols that map the whole code onto itself. For polar codes, only a part of the automorphism group was known, namely the lower-triangular affine group (LTA), which is solely ...
Marvin Geiselhart +4 more
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The Complete Affine Automorphism Group of Polar Codes [PDF]
Global Communications Conference, 2021 Recently, a permutation-based successive cancellation (PSC) decoding framework for polar codes attracts much attention. It decodes several permuted codewords with indepen-dent successive cancellation (SC) decoders. Its latency thus can be reduced to that
Yuan Li +6 more
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Generalised quadrangles with a group of automorphisms acting primitively on points and lines [PDF]
Journal of Combinatorial Theory, 2011 We show that if G is a group of automorphisms of a thick finite generalised quadrangle Q acting primitively on both the points and lines of Q, then G is almost simple. Moreover, if G is also flag-transitive then G is of Lie type.
J. Bamberg +4 more
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