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pro vyhledávání: '"WILLIAM M. KANTOR"'
Autor:
William M. Kantor
Publikováno v:
Designs, Codes and Cryptography. 90:2145-2157
Given an integer $$k\ge 3$$ 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. Weaker results are obtained when |G| is e
Autor:
ULRICH DEMPWOLFF, WILLIAM M. KANTOR
We determine all finite sets of equiangular lines spanning finite-dimensional complex unitary spaces for which the action on the lines of the set-stabiliser in the unitary group is 2-transitive with a regular normal subgroup.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00db13bb85f2bc67b1a0ce2b9d0964e3
Autor:
William M. Kantor, Lino Di Martino
Presented here are papers from the 1993 Como meeting on groups of Lie type and their geometries. The meeting was attended by many leading figures, as well as younger researchers in this area, and this book brings together many of their excellent cont
Autor:
William M. Kantor
Publikováno v:
Discrete Mathematics. 342:2886-2892
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 D for which Aut D ≅ G .
Autor:
William M. Kantor
Publikováno v:
Advances in Geometry. 17:453-471
New types of maximal symplectic partial spreads are constructed.
Autor:
William M. Kantor
Publikováno v:
Progress in Algebraic Combinatorics, E. Bannai and A. Munemasa, eds. (Tokyo: Mathematical Society of Japan, 1996)
There have been a number of striking new results concerning translation planes of characteristic 2, obtained using orthogonal and symplectic spreads. The impetus for this came from coding theory. This paper surveys the geometric advances, while provi
Autor:
Jean Doyen, William M. Kantor
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7051e3d119de0e07a1e111cfbdd31d2a
http://arxiv.org/abs/1808.03615
http://arxiv.org/abs/1808.03615
Autor:
William M. Kantor, Kay Magaard
Publikováno v:
Journal of Algebra. 421:524-540
If a black box group G is known to be isomorphic to an exceptional simple group G ˆ of Lie type of (twisted) rank >1, other than any F 4 2 ( 2 e ) or D 4 3 ( 2 e ) , over a field of known size q, and if suitable SL 2 and Discrete Log oracles are ava
Autor:
William M. Kantor, Martin Kassabov
Publikováno v:
Journal of Algebra. 421:16-26
A deterministic polynomial-time algorithm constructs an isomorphism between PGL ( 2 , 2 e ) and a black box group to which it is isomorphic.
Autor:
Larry Finkelstein, William M. Kantor
The workshop “Groups and Computations” took place at the Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) at Rutgers University in June 1995. This and an earlier workshop (see Groups and Computation, Finkelstein and Kanto