Derangements in simple and primitive groups [PDF]
, 2002 We investigate the proportion of fixed point free permutations (derangements) in finite transitive permutation groups. This article is the first in a series where we prove a conjecture of Shalev that the proportion of such elements is bounded away from ...
Jason Fulman, Robert M. Guralnick
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A generalization of Sims’ conjecture for finite primitive groups and two point stabilizers in primitive groups [PDF]
Journal of group theroy, 2021 In this paper, we propose a refinement of Sims’ conjecture concerning the cardinality of the point stabilizers in finite primitive groups, and we make some progress towards this refinement.
Pablo Spiga
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On relational complexity and base size of finite primitive groups [PDF]
Pacific Journal of Mathematics, 2021 In this paper we show that if $G$ is a primitive subgroup of $S_{n}$ that is not large base, then any irredundant base for $G$ has size at most $5 \log n$.
Veronica Kelsey, C. Roney‐Dougal
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Base sizes for primitive groups with soluble stabilisers [PDF]
Algebra & Number Theory, 2020 Let $G$ be a finite primitive permutation group on a set $\Omega$ with point stabiliser $H$. Recall that a subset of $\Omega$ is a base for $G$ if its pointwise stabiliser is trivial.
Timothy C. Burness
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The Classification of Extremely Primitive Groups [PDF]
, 2020 Let $G$ be a finite primitive permutation group on a set $\Omega$ with nontrivial point stabilizer $G_{\alpha}$. We say that $G$ is extremely primitive if $G_{\alpha}$ acts primitively on each of its orbits in $\Omega \setminus \{\alpha\}$.
Timothy C. Burness, Adam R. Thomas
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On Simply Transitive Primitive Groups [PDF]
Proceedings of the National Academy of Sciences, 1926 W. A. Manning, By W. A. Manning
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Proceedings of the American Mathematical Society, 1972 Two theorems showing the existence of primitive group rings are proved. THEOREM 1. Let G be a countable locally finite group and F a field of characteristic 0, or characteristic p if G has no elements of' order p. Then the group ring F[G] is primitive if and only if G has no finite normal subgroups. THEOREM 2. Let G be any grolp, and F afield.
Formanek, Edward, Snider, Robert L.
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The Unipotency of the Free Group with Linear Representation of Dimension 9
Journal of Harbin University of Science and Technology, 2021 By using the method of combinatorial group theory, the properties of primitives are found. By discussing different Jordan canonical forms and analyzing the properties of unipotent matrices, and by using computer software, the conditions that binary ...
YANG Xin-song, DIAO Xin
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Participatory rural appraisal for identification ethno-veterinary practices among primitive tribal groups of Girwa block, Udaipur, India [PDF]
Journal of Veterinary and Animal Sciences, 2023 The participatory rural appraisal (PRA) exercise was conducted in Girwa block of Udaipur, India. Girwa (Geog. Lat. 24.58° N, Geog. Long. 73.6962° E) is a part of southern Aravali hills wherein 28% of the population belongs to the primitive tribal ...
Meenakshi Amarawat +2 more
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Prediction of the space group and cell volume by training a convolutional neural network with primitive ‘ideal’ diffraction profiles and its application to ‘real’ experimental data [PDF]
J Appl CrystallogrOzaki H, Ishida N, Kiyobayashi T.
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