Zobrazeno 1 - 10
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pro vyhledávání: '"Fawcett, Joanna B."'
Autor:
Fawcett, Joanna B.
Publikováno v:
J. Algebra 607 (2022) 247-271
We study the base sizes of finite quasiprimitive permutation groups of twisted wreath type, which are precisely the finite permutation groups with a unique minimal normal subgroup that is also non-abelian, non-simple and regular. Every permutation gr
Externí odkaz:
http://arxiv.org/abs/2102.02190
Publikováno v:
J. London Math. Soc. 104 (2021), 1011-1084
A partial linear space is a pair $(\mathcal{P},\mathcal{L})$ where $\mathcal{P}$ is a non-empty set of points and $\mathcal{L}$ is a collection of subsets of $\mathcal{P}$ called lines such that any two distinct points are contained in at most one li
Externí odkaz:
http://arxiv.org/abs/1908.11110
Publikováno v:
J. Algebra 458 (2016), 21-52
Given a finite group $G$ and a faithful irreducible $FG$-module $V$ where $F$ has prime order, does $G$ have a regular orbit on $V$? This problem is equivalent to determining which primitive permutation groups of affine type have a base of size 2. In
Externí odkaz:
http://arxiv.org/abs/1812.05880
Publikováno v:
Journal of Combinatorial Theory, Series A 173 (2020)
A graph $\Gamma$ is $k$-connected-homogeneous ($k$-CH) if $k$ is a positive integer and any isomorphism between connected induced subgraphs of order at most $k$ extends to an automorphism of $\Gamma$, and connected-homogeneous (CH) if this property h
Externí odkaz:
http://arxiv.org/abs/1805.03115
Publikováno v:
J. Algebra 522 (2019) 61-79
Given a finite group $G$ and a faithful irreducible $FG$-module $V$ where $F$ has prime order, does $G$ have a regular orbit on $V$? This problem is equivalent to determining which primitive permutation groups of affine type have a base of size 2. Le
Externí odkaz:
http://arxiv.org/abs/1801.04561
Publikováno v:
New Journal of Physics vol. 20, 035003 (2018)
Recent experiments show that both natural and artificial microswimmers in narrow channel-like geometries will self-organise to form steady, directed flows. This suggests that networks of flowing active matter could function as novel autonomous microf
Externí odkaz:
http://arxiv.org/abs/1705.00589
Publikováno v:
Proc. Natl. Acad. Sci. U.S.A. 113 (29), 8200-8205 (2016)
Active biological flow networks pervade nature and span a wide range of scales, from arterial blood vessels and bronchial mucus transport in humans to bacterial flow through porous media or plasmodial shuttle streaming in slime molds. Despite their u
Externí odkaz:
http://arxiv.org/abs/1607.08015
Autor:
Fawcett, Joanna B., Giudici, Michael, Li, Cai Heng, Praeger, Cheryl E., Royle, Gordon, Verret, Gabriel
Publikováno v:
J. Combin. Theory Ser. A 157 (2018) 247-266
We classify finite primitive permutation groups having a suborbit of length 5. As a corollary, we obtain a classification of finite vertex-primitive graphs of valency 5. In the process, we also classify finite almost simple groups that have a maximal
Externí odkaz:
http://arxiv.org/abs/1606.02097
Autor:
Fawcett, Joanna B., Praeger, Cheryl E.
Publikováno v:
Arch. Math. 106 (2016) 305-314
For a subgroup $L$ of the symmetric group $S_\ell$, we determine the minimal base size of $GL_d(q)\wr L$ acting on $V_d(q)^\ell$ as an imprimitive linear group. This is achieved by computing the number of orbits of $GL_d(q)$ on spanning $m$-tuples, w
Externí odkaz:
http://arxiv.org/abs/1602.04913