Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Tomasz Popiel"'
Autor:
Melissa Lee, Tomasz Popiel
Publikováno v:
International Journal of Algebra and Computation. 33:369-389
Let [Formula: see text] be a permutation group on a set [Formula: see text]. A base for [Formula: see text] is a subset of [Formula: see text] whose pointwise stabilizer is trivial, and the base size of [Formula: see text] is the minimal cardinality
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0395b4fde84329377012e53448c4e5a1
https://doi.org/10.1142/s0218196723500194
https://doi.org/10.1142/s0218196723500194
Autor:
Melissa Lee, Tomasz Popiel
Publikováno v:
Journal of Group Theory.
The prime graph, or Gruenberg–Kegel graph, of a finite group 𝐺 is the graph Γ ( G ) \Gamma(G) whose vertices are the prime divisors of | G | \lvert G\rvert and whose edges are the pairs { p , q } \{p,q\} for which 𝐺 contains an element o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f9d56da3b388dd073d61e0ec26bbb0f
https://doi.org/10.1515/jgth-2021-0119
https://doi.org/10.1515/jgth-2021-0119
Publikováno v:
Designs, Codes and Cryptography. 90:2021-2067
The problem of classifying linear systems of conics in projective planes dates back at least to Jordan, who classified pencils (one-dimensional systems) of conics over $${\mathbb {C}}$$ C and $$\mathbb {R}$$ R in 1906–1907. The analogous problem fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c1e926fc2cb57eed56612502250d3044
https://doi.org/10.1007/s10623-021-00881-9
https://doi.org/10.1007/s10623-021-00881-9
Publikováno v:
Safety & Fire Technology, Vol 63, Iss 1, Pp 58-68 (2024)
Aim: The aim of this article is to present the existing formal and legal conditions related to the placing on the market and using in the national market of pumps and pump kits – both fire pumps and those intended for firefighting water supply syst
Externí odkaz:
https://doaj.org/article/2db6b60feacc495fa76b0a27839dd95f
We classify the orbits of solids in the projective space $\text{PG}(5,q)$, $q$ even, under the setwise stabiliser $K \cong \text{PGL}(3,q)$ of the Veronese surface. For each orbit, we provide an explicit representative $S$ and determine two combinato
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::848e28092417b5a26b387abb263bc9e1
Publikováno v:
Journal of Geometry. 111
We classify nets of conics of rank one in Desarguesian projective planes over finite fields of odd order, namely, two-dimensional linear systems of conics containing a repeated line. Our proof is geometric in the sense that we solve the equivalent pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5257412f3970436110188518219e937
https://doi.org/10.1007/s00022-020-00548-1
https://doi.org/10.1007/s00022-020-00548-1
Publikováno v:
Bulletin of the Australian Mathematical Society. 99:203-211
Let $T$ be a finite simple group of Lie type in characteristic $p$, and let $S$ be a Sylow subgroup of $T$ with maximal order. It is well known that $S$ is a Sylow $p$-subgroup except for an explicit list of exceptions and that $S$ is always ‘large
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25584634659b35a5cc246a273129783d
https://doi.org/10.1017/s0004972718000928
https://doi.org/10.1017/s0004972718000928
Publikováno v:
Nagoya Mathematical Journal. 234:87-126
The classification of flag-transitive generalized quadrangles is a long-standing open problem at the interface of finite geometry and permutation group theory. Given that all known flag-transitive generalized quadrangles are also point-primitive (up
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9255e685589b1d7baf91f41df3117e15
https://doi.org/10.1017/nmj.2017.35
https://doi.org/10.1017/nmj.2017.35
Publikováno v:
Journal of Combinatorial Theory, Series A. 147:186-204
The only known examples of finite generalised hexagons and octagons arise from the finite almost simple groups of Lie type G 2 , D 4 3 , and F 4 2 . These groups act transitively on flags, primitively on points, and primitively on lines. The best con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8bcd0b5098c477af66cee4b8928463c
https://doi.org/10.1016/j.jcta.2016.11.008
https://doi.org/10.1016/j.jcta.2016.11.008
Autor:
Tomasz Popiel, W. H. Mannan
We introduce a new family of presentations for the quaternion groups and show that for the quaternion group of order 28, one of these presentations has non-standard second homotopy group.
22 pages. Appendix added this version contains proofs of
22 pages. Appendix added this version contains proofs of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cc89d5b7b70439893b1b1a789840cae
http://arxiv.org/abs/1901.10786
http://arxiv.org/abs/1901.10786