Results 11 to 20 of about 7,927 (148)
WEAK CAYLEY TABLE GROUPS OF SOME CRYSTALLOGRAPHIC GROUPS [PDF]
Glasgow Mathematical Journal, 2018 AbstractFor a group G, a weak Cayley table isomorphism is a bijection f : G → G such that f(g1g2) is conjugate to f(g1)f(g2) for all g1, g2 ∈ G. The set of all weak Cayley table isomorphisms forms a group (G) that is the group of symmetries of the weak Cayley table of G.
Humphries, Stephen P. +1 more
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The eight Cayley-Dickson doubling product
, 2020 The purpose of this paper is to identify all eight of the basic Cayley-Dickson doubling products. A Cayley-Dickson algebra $\cda{N+1}$ of dimension $2^{N+1}$ consists of all ordered pairs of elements of a Cayley-Dickson algebra $\cda{N}$ of dimension $2 ...
Bales, John W.
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On the Constant-Depth Circuit Complexity of Generating Quasigroups [PDF]
TheoretiCSWe investigate the constant-depth circuit complexity of the Isomorphism Problem, Minimum Generating Set Problem (MGS), and Sub(quasi)group Membership Problem (Membership) for groups and quasigroups (=Latin squares), given as input in terms of their ...
Nathaniel A. Collins +3 more
doaj +1 more source
SL2 homomorphic hash functions: Worst case to average case reduction and short collision search [PDF]
, 2015 We study homomorphic hash functions into SL(2,q), the 2x2 matrices with determinant 1 over the field with $q$ elements. Modulo a well supported number theoretic hypothesis, which holds in particular for concrete homomorphisms proposed thus far, we ...
Mullan, Ciaran, Tsaban, Boaz
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New results for the degree/diameter problem [PDF]
, 1994 The results of computer searches for large graphs with given (small) degree and diameter are presented. The new graphs are Cayley graphs of semidirect products of cyclic groups and related groups.
Dinneen, Michael J., Hafner, Paul R.
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Strongly Regular Graphs Constructed from $p$-ary Bent Functions [PDF]
, 2010 In this paper, we generalize the construction of strongly regular graphs in [Y. Tan et al., Strongly regular graphs associated with ternary bent functions, J. Combin.Theory Ser.
Chee Yin, De Zhang, Tan Xian, Yeow Meng
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On the number of transversals in Cayley tables of cyclic groups
Discrete Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cavenagh, Nicholas J, Wanless, Ian
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Small Partial Latin Squares that Cannot be Embedded in a Cayley Table [PDF]
Australas. J Comb., 2015 9 ...
Ian M. Wanless, Bridget S. Webb
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Manufacturing a mathematical group: a study in heuristics [PDF]
, 2018 I examine the way a relevant conceptual novelty in mathematics, that is, the notion of group, has been constructed in order to show the kinds of heuristic reasoning that enabled its manufacturing.
Ippoliti, Emiliano
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Ramanujan graphs in cryptography [PDF]
, 2018 In this paper we study the security of a proposal for Post-Quantum Cryptography from both a number theoretic and cryptographic perspective. Charles-Goren-Lauter in 2006 [CGL06] proposed two hash functions based on the hardness of finding paths in ...
Costache, Anamaria +4 more
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