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pro vyhledávání: '"Kantor, William M."'
Autor:
Kantor, William M.
This note studies projective planes having a collineation group fixing a flag $(\infty,L_\infty )$ and transitive on the flags $(w,W )$ with $w\notin L_\infty $ and $\infty\notin W$.
Externí odkaz:
http://arxiv.org/abs/2408.11923
Autor:
Dempwolff, Ulrich, Kantor, William M.
All finite sets of equiangular lines spanning finite-dimensional unitary spaces are determined for which the action on the lines of the set-stabilizer in the unitary group is 2-transitive with a regular normal subgroup.
Externí odkaz:
http://arxiv.org/abs/2204.00724
Autor:
Kantor, William M.
Given an integer $k\ge3$ and a group $G$ of odd order, if there exists a $2$-$(v,k,1)$-design and if $v$ is sufficiently large, then there is such a design whose automorphism group has a subgroup isomorphic to $G$. A weaker result is proved when $|G|
Externí odkaz:
http://arxiv.org/abs/1909.10126
Autor:
Doyen, Jean, Kantor, William M.
If $G$ is a finite group then there is an integer $M_G$ such that$,$ for $u\ge M_G$ and $u\equiv 1$ or $3$ (mod 6), there is a Steiner triple system $U$ on $u$ points for which ${\rm Aut} U \cong G. \ $ If $V$ is a Steiner triple system then there is
Externí odkaz:
http://arxiv.org/abs/1808.03615
Autor:
Kantor, William M.
We present known results concerning antiflag transitive collineation groups of finite projective spaces and finite polar spaces.
Externí odkaz:
http://arxiv.org/abs/1806.02203
Autor:
Kantor, William M.
If $G$ is a finite group and $k =q>2$ or $k=q+1$ for a prime power $q$ then, for infinitely many integers $v$, there is a $2$-$(v,k,1)$-design ${\bf D}$ for which ${\rm Aut} {\bf D}\cong G$.
Externí odkaz:
http://arxiv.org/abs/1805.12091
A subset S of a group G invariably generates G if G = for each choice of g(s) in G, s in S. In this paper we study invariable generation of infinite groups, with emphasis on linear groups. Our main result shows that a finitely gen
Externí odkaz:
http://arxiv.org/abs/1407.4631
Autor:
Dempwolff, Ulrich, Kantor, William M.
Orthogonal spreads in orthogonal spaces of type $V^+(2n+2,2)$ produce large numbers of rank $n$ dual hyperovals in orthogonal spaces of type $V^+(2n,2)$. The construction resembles the method for obtaining symplectic spreads in $V(2n,q)$ from orthogo
Externí odkaz:
http://arxiv.org/abs/1303.4073
Autor:
Kantor, William M.
This note presents generalizations of the partial spread bent functions introduced by Dillon, as well as the corresponding relative difference sets in nonabelian groups.
Externí odkaz:
http://arxiv.org/abs/1211.2600
Simple constructions are given for finite semifields that include as special cases both old semifields and recently constructed semifields.
Externí odkaz:
http://arxiv.org/abs/1201.0366