Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi !

Primitive Block Designs with Automorphism Group PSL(2, q) (CROSBI ID 581853)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Braić, Snježana ; Mandić Joško ; Vučičić Tanja Primitive Block Designs with Automorphism Group PSL(2, q) // Fq 10 Ghent, The Tenth International Conference on Finite Fields and Their Applications / Scientific committee of Fq 10 (ur.). Ghent: Local organizing committee of Fq 10, 2011. str. 110-110

Podaci o odgovornosti

Braić, Snježana ; Mandić Joško ; Vučičić Tanja

engleski

Primitive Block Designs with Automorphism Group PSL(2, q)

A block design we call primitive if it has an automorphism group acting primitively on both point and block set. Taking the projective line X={;∞};∪GF(q) as the set of points, our research aims to determine, up to isomorphism and complementation, all primitive block designs with PSL(2, q) as an automorphism group. The number of such designs we denote by npd(q). In dealing with primitive permutation representations of almost simple groups with socle PSL(2, q) we make use of the study [1] of their maximal subgroups. The obtained designs we describe by their base block (a union of orbits of a block stabilizer) and the full automorphism group. Our results so far include completely solving the problem in case when a block stabilizer is not in the fifth Aschbacher's class (in particular, for q a prime), and assertions such as the following. Lemma 1. Let q>=4. Then npd(q)=0 if and only if q=7, 11, 23 or q=2^r, r a prime. Lemma 2. Let q>=13 and let there exist a block design D, the socle of AutD being PSL(2, q). If the base block stabilizer is in the second Aschbacher's class, then q is congruent to 1(mod4), D is 2-(q+1, (q-1)/2, (q-1)(q-3)/8) design up to complementation, and AutD=PΣL(2, q). [1] M. Giudici, Maximal subgroups of almost simple groups with socle PSL(2, q), arXiv:math/0703685v1 [math.GR], 2007.

Symmetric design; automorphism group; primitive group action

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o prilogu

110-110.

2011.

objavljeno

Podaci o matičnoj publikaciji

Fq 10 Ghent, The Tenth International Conference on Finite Fields and Their Applications

Scientific committee of Fq 10

Ghent: Local organizing committee of Fq 10

Podaci o skupu

Fq 10 Ghent, The Tenth International Conference on Finite Fields and Their Applications

predavanje

11.07.2011-15.07.2011

Gent, Belgija

Povezanost rada

Matematika

Poveznice