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A free monoid containing all prefix codes
《Applied Mathematics(A Journal of Chinese Universities)》2024年第4期596-603,共8页CAO Chun-hua LIU Qin YANG Di 
Supported by the National Natural Science Foundation of China(11861071).
In this paper,we exhibit a free monoid containing all prefix codes in connection with the sets of i-th powers of primitive words for all i≥2.This extends two results given by Shyr and Tsai in 1998 at the same time.
关键词：prefix code free monoid primitive word maximal prefix code 
The primitive matrices of sandwich semigroups of generalized circulant Boolean matrices
《Applied Mathematics(A Journal of Chinese Universities)》2013年第3期311-320,共10页LIU Jian-ping CHEN Jin-song 
Supported by the National Natural Science Foundation of China(11071272,11101087);the Postdoctoral Science Foundation of China(2013M531785);the Natural Science Foundation of Fujian Province(2013J05006);the Foundation of Fuzhou University(2012-XQ-30)
Let Gn（C） be the sandwich semigroup of generalized circulant Boolean matrices with the sandwich matrix C and Gc（Jr~） the set of all primitive matrices in Gn（C）. In this paper, some necessary and sufficient condi...
关键词：generalized circulant Boolean matrix sandwich semigroup primitive matrix. 
Flag-transitive point-primitive 2-(v,k,4) symmetric designs and two dimensional classical groups被引量：5
《Applied Mathematics(A Journal of Chinese Universities)》2011年第3期334-341,共8页ZHOU Sheng-lin TIAN De-lu 
Supported by the National Natural Science Foundation of China(11071081)
Let D be a 2-（v, k, 4） symmetric design and G be a flag-transitive point-primitive automorphism group of D with X ≥G ≤Aut（X） where X ≌ PSL2（q）.Then D is a 2-（15,8,4） symmetric design with X = PSL2（9） and ...
关键词：Symmetric design FLAG-TRANSITIVE point-primitive two dimensional classical group. 
CLASSIFICATION OF PRIMITIVE (J_1,2)-ARC TRANSITIVE GRAPHS
《Applied Mathematics(A Journal of Chinese Universities)》2006年第3期361-368,共8页Ding Shifeng 
Supported by the National Natural Science Foundation of China(10471152).
In the author＇s Ph. D thesis, a non-quasiprimitive graph admitting a quasiprimitive automorphism group isomorphic to J1 was constructed ,where J1 is Janko simple group of order 175560. Is this the only one for J1？ I...
关键词：2-arc transitive PRIMITIVE J1. 
2-(v,k,1) DESIGNS AND PSL (3,q) WHERE q IS ODD被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2003年第3期343-351,共9页Ding ShifengDept. of Math., Zhejiang Univ., Hangzhou 310027, China. 
Supported by the National Natural Science Foundation of China( 1 0 1 71 0 89)
Let G be a block-primitive automorphism group of a 2-(v,k,1) design.If G is isomorphic to PSL (3,q) where q is odd,then G is also point-primitive.
关键词：design block-primitive point-primitive 
SUZUKI GROUPS Sz(q) AND 2-(v,k,1) BLOCK DESIGNS
《Applied Mathematics(A Journal of Chinese Universities)》2002年第1期99-104,共6页Zhou ShenglinDept. of Math., Shantou Univ., Shantou 515063. 
the NSFC(1 9871 0 75 )
It is proved that if D be a 2|(v,k,1) design with G≤ Aut D block primitive then G does not have a Suzuki group Sz(q) as the socle.
关键词：design AUTOMORPHISM block-primitive point-primitive. 
COUNT OF PRIMITIVE WORDS
《Applied Mathematics(A Journal of Chinese Universities)》2001年第3期339-344,共6页Wang Lijunof Appl.Math.,Tongji Univ.,Shanghai 200092. 
The present paper concerns with the formula of the count of primitive words and exchangeable primitive words.
关键词：CARDINALITY primitive words exchangeable primitive words. 
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