向下五度才偏
发表于 2025-3-23 10:13:16
Elementary Abelian Groups. Istudy of orthomorphism graphs of these groups. In particular, any function from a finite field to itself, and thus any orthomorphism of the additive group of the field, can be realized as a polynomial function. Several interesting classes of orthomorphisms will be described as sets of orthomorphism
BLOT
发表于 2025-3-23 16:00:03
Elementary Abelian Groups. II orthomorphisms, orthomorphisms of the form .↦.; and quadratic orthomorphisms, orthomorphisms of the form . maps to . if . is a square and . if . is a nonsquare. In this chapter we generalize linear and quadratic orthomorphisms by partitioning the elements of a finite field into cyclotomy classes {.
Pelvic-Floor
发表于 2025-3-23 20:44:01
Extensions of Orthomorphism Graphs abelian groups that have received significant attention are the cyclic groups and direct products of elementary abelian groups. In this chapter we will define the extension of the orthomorphism graph of a group . by a group .: this is an orthomorphism graph of . × .. We will discuss two special cas
neolith
发表于 2025-3-24 02:00:25
(,) for Some Classes of Nonabelian Groups only classes of nonabelian groups for which attempts have been made to improve the lower bound for .(.) are the dihedral groups and some of the linear groups of even characteristic. We will present these improvements in this chapter. We will derive improved lower bounds for .(.), . the dihedral gro
orthodox
发表于 2025-3-24 05:13:31
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外面
发表于 2025-3-24 09:55:25
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背书
发表于 2025-3-24 10:49:44
Related Topics and orthomorphisms of groups. In our discussion of these topics, we will outline the work that has been done, presenting many of the results without proofs. Our emphasis will be on the role played by orthomorphisms and related mappings. We will introduce classes of complete mappings and orthomorphi
Albinism
发表于 2025-3-24 14:51:31
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阴谋小团体
发表于 2025-3-24 19:46:50
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BRAVE
发表于 2025-3-25 01:05:48
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