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pro vyhledávání: '"Veronica Kelsey"'
Autor:
Veronica Kelsey, Colva M. Roney-Dougal
Publikováno v:
Pacific Journal of Mathematics. 318:89-108
In this paper we show that if G is a primitive subgroup of Sn that is not large base, then any irredundant base for G has size at most 5 log n. This is the first logarithmic bound on the size of an irredundant base for such groups, and is best possib
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3211e46a4f2b324318092e6ff2a68df
https://doi.org/10.2140/pjm.2022.318.89
https://doi.org/10.2140/pjm.2022.318.89
Autor:
Peter Rowley, Veronica Kelsey
Publikováno v:
Innov. Incidence Geom. Algebr. Topol. Comb. 18, no. 1 (2020), 25-37
We explore the minimal characteristic two parabolic geometries for the finite sporadic simple groups, as introduced by Ronan and Stroth. The chamber graphs of the geometries are studied, with the aid of Magma, focusing on their disc structure and geo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7965696c31ac0931272e1e936d1e3e5e
https://doi.org/10.2140/iig.2020.18.25
https://doi.org/10.2140/iig.2020.18.25
Autor:
Veronica Kelsey, Colva Roney-Dougal
Funding: This work was supported by EPSRC grant number EP/R014604/1. In addition, this work was partially supported by a grant from the Simons Foundation. The generating graph Γ (G) of a finite group G has vertex set the non-identity elements of G,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b214e8cf8db2aab46d1406e8f00e4456
https://hdl.handle.net/10023/25156
https://hdl.handle.net/10023/25156
Supposing $G$ is a group and $k$ a natural number, $d_k(G)$ is defined to be the minimal number of elements of $G$ of order $k$ which generate $G$ (setting $d_k(G) = 0$ if $G$ has no such generating sets). This paper investigates $d_k(G)$ when $G$ is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::696145b23c3aac58bc5e4c2e84eba8b0
https://eprints.bbk.ac.uk/id/eprint/46350/8/46350a.pdf
https://eprints.bbk.ac.uk/id/eprint/46350/8/46350a.pdf
Autor:
Veronica Kelsey, Peter Rowley
Publikováno v:
Kelsey, V & Rowley, P 2019, ' A note on involution centralizers in black box groups ', Journal of Group Theory, vol. 0, no. 0 . https://doi.org/10.1515/jgth-2019-0128
Here we note a minor variation on the method in [J. N. Bray, An improved method for generating the centralizer of an involution, Arch. Math. (Basel) 74 2000, 4, 241–245] which enables calculations of C H ( t ) {C_{H}(t)} for H a subgroup of a b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9bf85ef2855f23d6cc1bc337a9efd703
https://doi.org/10.1515/jgth-2019-0128
https://doi.org/10.1515/jgth-2019-0128
Autor:
Veronica Kelsey, Peter Rowley
Publikováno v:
Kelsey, V & Rowley, P 2019, ' Chamber Graphs of some Geometries that are Almost Buildings ', Innovations in Incidence Geometry: Algebraic, Topological and Combinatoria, vol. 17, no. 3, pp. 189-200 . https://doi.org/10.2140/iig.2019.17.189
Innov. Incidence Geom. Algebr. Topol. Comb. 17, no. 3 (2019), 189-200
Innov. Incidence Geom. Algebr. Topol. Comb. 17, no. 3 (2019), 189-200
The global structure of the chamber graph of certain rank [math] geometries that are almost buildings is determined. Computer files containing extensive details of these graphs accompany this paper.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1bdea43be1d0733d10dc557c535ddc3
https://doi.org/10.2140/iig.2019.17.189
https://doi.org/10.2140/iig.2019.17.189
Autor:
Veronica Kelsey, Peter Rowley
Publikováno v:
Graphs and Combinatorics. 34:1429-1443
An octad triple is a set of three octads, octads being the blocks of the S(5, 8, 24) Steiner system. In this paper we determine the orbits of $$M_{24}$$ , the largest Mathieu group, upon the set of octad triples.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::979b721f9b66af6a9e932ef74758eec6
https://doi.org/10.1007/s00373-018-1961-1
https://doi.org/10.1007/s00373-018-1961-1