3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs
نویسندگان
چکیده
منابع مشابه
3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs
The classification of a block-transitive designs is an important subject on algebraic combinatorics. With the aid of MATLAB software, using the classification theorem of 3-homogeneous permutation groups, we look at the classification problem of block-transitive 7–(v, k, 3) design and prove our main theorem: If the automorphism group of a 7–(v, k, 3) design is block-transitive, then it is neithe...
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This article is a contribution to the study of block-transitive automorphism groups of 2-(v, k, 1) block designs. Let D be a 2-(v, k, 1) design admitting a block-transitive, pointprimitive but not flag-transitive automorphism group G. Let kr = (k, v − 1) and q = p f for prime p. In this paper we prove that if G and D are as above and q > (3(krk − kr + 1)f) , then G does not admit a simple group...
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ژورنال
عنوان ژورنال: Mathematical and Computational Applications
سال: 2017
ISSN: 2297-8747
DOI: 10.3390/mca22020035