Results 21 to 30 of about 71,897 (268)
Groups, Geometry, and Dynamics, 2007 A primitive permutation group is called extremely primitive if a point stabilizer acts primitively on each of its orbits. We prove that finite extremely primitive groups are of affine type or almost simple. Moreover, we determine the affine type examples up to finitely many exceptions.
Mann, Avinoam +2 more
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Ansai peasant paintings: inheritance of Chinese primitive culture and primitive philosophy
Trans/Form/Ação, 2023 Chinese primitive philosophy, as the unity of cosmological ontology, epistemology and methodology of the Chinese philosophical system, is a complete and mature philosophical system formed in the late primitive society as early as before the Xia, Shang ...
Yaqian Chang +3 more
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On the order of primitive groups. IV [PDF]
Transactions of the American Mathematical Society, 1915 1. The last result under the above title was to the effect that a primitive group G of class greater than 3 which contains a substitution of prime order p and of degree qp, p > 2q 2, and q > 1, is of degree less than or equal to qp + 4q 4, and that p2 does not divide its order. t Of course it is probable that this limit is higher than need be.
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Primitive Permutation Groups with Primitive Jordan Sets
Journal of the London Mathematical Society, 1996 Let \(\Omega\) be a set and \(G\) a group of permutations of \(\Omega\). A subset \(\Sigma\) of \(\Omega\) is said to be a Jordan set (for \(G\) in \(\Omega\)) if \(|\Sigma|>1\) and there is a subgroup \(H\) of \(G\) that is transitive on \(\Sigma\) and fixes the complement \(\Omega\setminus\Sigma\) pointwise.
Adeleke, SA, Neumann, P
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A cryptographic primitive based on hidden-order groups
Journal of Mathematical Cryptology, 2009 Let G1 be a cyclic multiplicative group of order n. It is known that the computational Diffie–Hellman (CDH) problem is random self-reducible in G1 if φ(n) is known.
Saxena Amitabh, Soh Ben
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The Unipotency of the Free Group with Linear Representation of Dimension 11
Journal of Harbin University of Science and Technology, 2022 For the unipotent problem of binary-generated free groups, the new trace equations are obtained by intensive study of combinatorial properties of the primitive element of the binary-generated free groups.
YANG Xin-song, XIA Xiao-dan
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2-closures of primitive permutation groups of holomorph type
Open Mathematics, 2019 The 2-closure G(2) of a permutation group G on a finite set Ω is the largest subgroup of Sym(Ω) which has the same orbits as G in the induced action on Ω × Ω.
Yu Xue, Pan Jiangmin
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Covering monolithic groups with proper subgroups [PDF]
International Journal of Group Theory, 2013 Given a finite non-cyclic group $G$, call $sigma(G)$ the smallest number of proper subgroups of $G$ needed to cover $G$. Lucchini and Detomi conjectured that if a nonabelian group $G$ is such that $sigma(G) < sigma(G/N)$ for every non-trivial normal ...
Martino Garonzi
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The Sum of a Finite Group of Weights of a Hopf Algebra
Axioms, 2012 Motivated by the orthogonality relations for irreducible characters of a finite group, we evaluate the sum of a finite group of linear characters of a Hopf algebra, at all grouplike and skew-primitive elements.
Apoorva Khare
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Whitehead groups of exchange rings with primitive factors artinian
International Journal of Mathematics and Mathematical Sciences, 2001 We show that if R is an exchange ring with primitive factors artinian then K1(R)≅U(R)/V(R), where U(R) is the group of units of R and V(R) is the subgroup generated by {(1+ab)(1+ba)−1|a,b∈R with 1+ab∈U(R)}.
Huanyin Chen, Fu-an Li
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