Results 21 to 30 of about 5,522,853 (247)
The primitive 𝑝-Frobenius groups [PDF]
Proceedings of the American Mathematical Society, 1998 Let p p be a fixed prime. A finite primitive permutation group
Fleischmann, P. +2 more
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Most primitive groups are full automorphism groups of edge-transitive hypergraphs [PDF]
, 2014 We prove that, for a primitive permutation group G acting on a set X of size n, other than the alternating group, the probability that Aut (X,YG) = G for a random subset Y of X, tends to 1 as n → ∞.
Cameron, Peter Jephson +2 more
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On base sizes for symmetric groups [PDF]
, 2011 A base of a permutation group G on a set is a subset B of such that the pointwise stabilizer of B in G is trivial. The base size of G, denoted by b(G), is the minimal cardinality of a base.
Guralnick, Robert M. +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2014 We consider some conditions for imprimitivity of irreducible representations of a metebelian group $G$ of finite rank over a field $k$. We shoved that in the case where $char\; k = p > 0$ these conditions strongly depend on existence of infinite $p ...
A.V. Tushev
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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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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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Most switching classes with primitive automorphism groups contain graphs with trivial groups [PDF]
, 2015 The operation of switching a graph Gamma with respect to a subset X of the vertex set interchanges edges and non-edges between X and its complement, leaving the rest of the graph unchanged.
Cameron, Peter Jephson, Spiga, Pablo
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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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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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