Results 11 to 20 of about 74,995 (149)
An Elementary Abelian Group of Rank 4 Is a CI-Group
Journal of Combinatorial Theory, Series A, 2001 Finite groups are dealt with. In addition to the known notion of CI-group (i.e., group possessing the Cayley isomorphism property), the authors consider the related concept of \(\text{CI}^{(2)}\)-group. Let \(F\), \(G\) be subgroups of the symmetric (permutation) group \(\text{Sym}(X)\). We say that \(G(\supseteq F)\) is \(F\)-transjugate if \(G\) acts
Hirasaka, M., Muzychuk, M.
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Association schemes in which the thin residue is an elementary abelian p-group of rank 2
Journal of Algebra, 2016 In this article, we investigate the existence and schurity problem of association schemes whose thin residues are isomorphic to an elementary abelian $p$-group of rank $2$.
Hirasaka, Mitsugu, Kim, Kijung
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AN EXPLICIT FORMULA FOR THE NUMBER OF SUBGROUPS OF A FINITE ABELIAN p-GROUP UP TO RANK 3 [PDF]
Communications of the Korean Mathematical Society, 2013 In this paper we give an explicit formula for the total number of subgroups of a finite abelian -group up to rank three.
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On the LHC signatures of $$SU(5)\times U(1)'$$ S U ( 5 ) × U ( 1 ) ′ F-theory motivated models
European Physical Journal C: Particles and Fields, 2021 We study low energy implications of F-theory GUT models based on SU(5) extended by a $$U(1)'$$ U ( 1 ) ′ symmetry which couples non-universally to the three families of quarks and leptons.
A. Karozas +3 more
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Dimension and rank for mapping class groups [PDF]
, 2007 We study the large scale geometry of the mapping class group, MCG. Our main result is that for any asymptotic cone of MCG, the maximal dimension of locally compact subsets coincides with the maximal rank of free abelian subgroups of MCG.
Behrstock, Jason A., Minsky, Yair N.
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On the number of subgroups of a given exponent in a finite abelian group [PDF]
, 2017 This paper deals with the number of subgroups of a given exponent in a finite abelian group. Explicit formulas are obtained in the case of rank two and rank three abelian groups.
Tóth, László, Tărnăuceanu, Marius
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On groups and counter automata [PDF]
, 2006 We study finitely generated groups whose word problems are accepted by counter automata. We show that a group has word problem accepted by a blind n-counter automaton in the sense of Greibach if and only if it is virtually free abelian of rank n; this ...
Dixon J. D. +8 more
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Non-Abelian gauged fracton matter field theory: Sigma models, superfluids, and vortices
Physical Review Research, 2020 By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually noncommutative), we derive a class of higher-rank tensor non-Abelian gauge ...
Juven Wang, Shing-Tung Yau
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Discussiones Mathematicae - General Algebra and Applications, 2017 It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
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Locally Quasi-Convex Compatible Topologies on a Topological Group
Axioms, 2015 For a locally quasi-convex topological abelian group (G,τ), we study the poset \(\mathscr{C}(G,τ)\) of all locally quasi-convex topologies on (G) that are compatible with (τ) (i.e., have the same dual as (G,τ) ordered by inclusion.
Lydia Außenhofer +2 more
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