Results 51 to 60 of about 55,118 (252)
Multiple Transitivity of Primitive Permutation Groups [PDF]
Proceedings of the American Mathematical Society, 1965 Introduction. We wish to consider two theorems on permutation groups which are a generalization of a two-part theorem found in [1, pp. 66-67], a theorem concerned with a permutation group on a finite set. We shall remove the restriction of finiteness.
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Advanced Functional Materials, EarlyView.Programmable 2D magnetic clusterphenes are realized through a ligand‐mediated cluster‐assembly strategy. Direct linking of magnetic superatomic clusters enhances electron delocalization and symmetry breaking, enabling the concurrent strengthening of magnetic exchange interactions and spin–orbit coupling.
Junxiang Fu +13 more
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Derangements in primitive permutation groups, with an application to character theory [PDF]
, 2014 Let G be a finite primitive permutation group and let κ(G) be the number of conjugacy classes of derangements in G. By a classical theorem of Jordan, κ(G) > 1. In this paper we classify the groups G with κ(G) = 1, and we use this to obtain new results on
Timothy C. Burness, H. Tong‐Viet
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Asymptotic Results for Primitive Permutation Groups
Journal of Algebra, 1997 Estimates for the number (up to permutation equivalence) of finite primitive permutation groups of a given degree \(n\) are obtained. It is shown that this number is at most \(n^{c/m(n)}\) where \(m(n)\) is the maximal exponent occurring in the prime factorization of \(n\) and \(c\) is an absolute constant.
Pyber, L, Shalev, A
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Advanced Materials, EarlyView.Transition metal oxy/carbo‐nitrides show great promise as catalysts for sustainable processes. A Mn‐Mo mixed‐metal oxynitride attains remarkable performance for the direct synthesis of acetonitrile, an important commodity chemical, via sequential C─N and C─C coupling from syngas (C1) and ammonia (N1) feedstocks.
M. Elena Martínez‐Monje +7 more
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On the depth of subgroups of simple groups
Forum of Mathematics, SigmaThe depth of a subgroup H of a finite group G is a positive integer defined with respect to the inclusion of the corresponding complex group algebras $\mathbb {C}H \subseteq \mathbb {C}G$ .
Timothy C. Burness
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Note on primitive permutation groups and a diophantine equation
Discrete Mathematics, 1980 AbstractIt is shown that there are no transitive rank 3 extensions of the projective linear groups H, PSL(m,q) ⩽ H ⩽ PFL(m,q), for any prime power q and integer m ⩽ 3. In the course of the proof the diophantine equation 5m + 11 = xp2, where m, x are positive integers, arose.
J. D. Henstridge, Cheryl E. Praeger
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Spin and Charge Control of Topological End States in Chiral Graphene Nanoribbons on a 2D Ferromagnet
Advanced Materials, EarlyView.Chiral graphene nanoribbons on a ferromagnetic gadolinium‐gold surface alloy display tunable spin and charge states at their termini. Atomic work function variations and exchange fields enabe transitions between singlet, doublet, and triplet configurations.
Leonard Edens +8 more
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Permutations which make transitive groups primitive [PDF]
Open Mathematics, 2009 Abstract In this article we look into characterizing primitive groups in the following way. Given a primitive group we single out a subset of its generators such that these generators alone (the so-called primitive generators) imply the group is primitive.
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Advanced Materials Technologies, EarlyView.Laser‐assisted synthesis enables rapid (within 1 h) and high‐yield (≥90%) production of Co‐MOFs with mesoporous structures, tunable magnetic and optical properties, and efficient adsorption of N2, CH4, and CO2 for low‐energy gas separation. DFT calculations elucidate the electronic structure and adsorption behavior.
Saliha Mutlu +10 more
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