Results 41 to 50 of about 12,641,387 (374)
The Fixity of Permutation Groups
Journal of Algebra, 1995 AbstractThe fixity of a finite permutation group G is the maximal number of fixed points of a non-trivial element of G. We analyze the structure of non-regular permutation groups G with given fixity f. We show that if G is transitive and nilpotent, then it has a subgroup whose index and nilpotency class are both f-bounded.
Jan Saxl, A. Shalev
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The Birkhoff theorem for unitary matrices of prime-power dimension [PDF]
, 2018 The unitary Birkhoff theorem states that any unitary matrix with all row sums and all column sums equal unity can be decomposed as a weighted sum of permutation matrices, such that both the sum of the weights and the sum of the squared moduli of the ...
De Baerdemacker, Stijn, De Vos, Alexis
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On Eigenvalues of Permutation Graphs [PDF]
Mathematics Interdisciplinary Research, 2019 Let λ1(G), λ2(G),..., λs(G) be the distinct eigenvalues of G with multiplicities t1, t2,..., ts, respectively. The multiset {λ1(G)t1, λ2(G)t2,..., λs(G)ts} of eigenvalues of A(G) is called the spectrum of G.
Sima Saadat-Akhtar, Shervin Sahebi
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Nonabelian braid statistics versus projective permutation statistics [PDF]
, 2002 Recent papers by Finkelstein, Galiautdinov, and coworkers {[J. Math. Phys. 42, 1489, 3299 (2001)]} discuss a suggestion by Wilczek that nonabelian projective representations of the permutation group can be used as a new type of particle statistics, valid
Read, N.
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Solvable intransitive permutation groups with constant movement [PDF]
Journal of Mahani Mathematical ResearchIn this paper, all solvable intransitive permutation groups with constant movement are classified and we show that they are one of the following groups: a cyclic $p$-group, an elementary abelian $p$-group, a Frobenius group of order 12 or a Frobenius ...
Mehdi Rezaei +2 more
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Topology, 1997 AbstractWe consider the subgroup of the automorphism group of the free group generated by the braid group and the permutation group. This is proved to be the same as the subgroup of automorphisms of permutation-conjugacy type and is represented by generalised braids (braids in which some crossings are allowed to be “welded”).
Richárd Rimányi +2 more
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Algorithms for permutability in finite groups [PDF]
Open Mathematics, 2013 Abstract In this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups (groups in which permutability is transitive), and PST-groups (groups in which Sylow permutability is ...
Ramon Esteban-Romero +3 more
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Quantum statistics: the indistinguishability principle and the permutation group theory [PDF]
Revista Brasileira de Ensino de Física, 2007 About two decades ago we have shown mathematically that besides bosons and fermions, it could exist a third kind of particles in nature that was named gentileons. Our results have been obtained rigorously within the framework of quantum mechanics and the
M. Cattani
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Permutation 2-groups I: structure and splitness [PDF]
, 2014 By a 2-group we mean a groupoid equipped with a weakened group structure. It is called split when it is equivalent to the semidirect product of a discrete 2-group and a one-object 2-group.
Elgueta, Josep
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Configuration synthesis of generalized deployable units via group theory [PDF]
Mechanical Sciences, 2016 The generalized deployable mechanism is composed of generalized links and generalized kinematic pairs. The generalized links include the flexible members, springs, and cables etc.
T. Li, J. Jiang, H. Dong, L. Zhang
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