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Flag-transitive automorphism groups of
2
2
2
-designs with
λ
≥
(
r
,
λ
)
2
\lambda\geq (r,\lambda)^2
λ
≥
(
r
,
λ
)
2
are not product type
Authors
Huiling Li
Zhilin Zhang
Shenglin Zhou
Publication date
18 April 2023
Publisher
View
on
arXiv
Abstract
In this paper we show that a flag-transitive automorphism group
G
G
G
of a non-trivial
2
2
2
-
(
v
,
k
,
λ
)
(v,k,\lambda)
(
v
,
k
,
λ
)
design with
λ
≥
(
r
,
λ
)
2
\lambda\geq (r, \lambda)^2
λ
≥
(
r
,
λ
)
2
is not of product action type. In conclusion,
G
G
G
is a primitive group of affine or almost simple type.Comment: 13 pages,2 figure
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oai:arXiv.org:2304.08854
Last time updated on 22/04/2023