Results 1 to 10 of about 196,708 (164)
Branching rules in the ring of superclass functions of unipotent upper-triangular matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 It is becoming increasingly clear that the supercharacter theory of the finite group of unipotent upper-triangular matrices has a rich combinatorial structure built on set-partitions that is analogous to the partition combinatorics of the classical ...
Nathaniel Thiem
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Combinatorial Group Theory and Public Key Cryptography [PDF]
Applicable Algebra in Engineering, Communication and Computing, 2006 12 ...
Shpilrain, Vladimir, Zapata, Gabriel
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Certain combinatorial topics in group theory [PDF]
International Journal of Group Theory, 2013 This article is intended to be a survey on some combinatorial topics in group theory. The bibliography at the end is neither claimed to be exhaustive, nor is it necessarily connected with a reference in the text.
C K Gupta
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On minimal blocking sets of the generalized quadrangle $Q(4, q)$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 The generalized quadrangle $Q(4,q)$ arising from the parabolic quadric in $PG(4,q)$ always has an ovoid. It is not known whether a minimal blocking set of size smaller than $q^2 + q$ (which is not an ovoid) exists in $Q(4,q)$, $q$ odd. We present results
Miroslava Cimráková, Veerle Fack
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Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 Before this work, at least 762 inequivalent Hadamard matrices of order 36 were known. We found 7238 Hadamard matrices of order 36 and 522 inequivalent [72,36,12] double-even self-dual codes which are obtained from all 2-(35,17,8) designs with an ...
Iliya Bouyukliev +2 more
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Existence of a new class of group divisible designs with block size four
Nantong Daxue xuebao. Ziran kexue ban, 2022 Group divisible designs are not only kinds of classical designs in combinatorial design theory, but also have extremely important applications in coding theory.
TANG Jiahao WANG Jinhua
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On the enumeration of uniquely reducible double designs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 A double $2$-$(v,k,2 \lambda)$ design is a design which is reducible into two $2$-$(v,k,\lambda)$ designs. It is called uniquely reducible if it has, up to equivalence, only one reduction.
Veerle Fack +2 more
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On the Universal Group PSL(2, C) [PDF]
Advances in Group Theory and Applications, 2019 The group Γ = PSL(2, C) arises in a wide variety of contexts; hyperbolic geometry, automorphic function theory, number theory and group theory. Much of combinatorial group theory arose out of the study of discrete subgroups of Γ = PSL(2, C), in ...
Benjamin Fine, Gerhard Rosenberger
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The Unipotency of the Free Group with Linear Representation of Dimension 9
Journal of Harbin University of Science and Technology, 2021 By using the method of combinatorial group theory, the properties of primitives are found. By discussing different Jordan canonical forms and analyzing the properties of unipotent matrices, and by using computer software, the conditions that binary ...
YANG Xin-song, DIAO Xin
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Kazhdan-Lusztig polynomials of boolean elements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We give closed combinatorial product formulas for Kazhdan–Lusztig poynomials and their parabolic analogue of type $q$ in the case of boolean elements, introduced in [M. Marietti, Boolean elements in Kazhdan–Lusztig theory, J.
Pietro Mongelli
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