Results 21 to 30 of about 1,309 (212)
Abelian varieties with isogenous reductions
Comptes Rendus. Mathématique, 2021 Let $A_1$ and $A_2$ be abelian varieties over a number field $K$. We prove that if there exists a non-trivial morphism of abelian varieties between reductions of $A_1$ and $A_2$ at a sufficiently high percentage of primes, then there exists a non-trivial
Khare, Chandrashekhar B. +1 more
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Two moonshines for L2(11) but none for M12
Nuclear Physics B, 2019 In this paper, we revisit an earlier conjecture by one of us that related conjugacy classes of M12 to Jacobi forms of weight zero and index one. We construct Jacobi forms for all conjugacy classes of M12 that are consistent with constraints from group ...
Suresh Govindarajan, Sutapa Samanta
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GROUPS WITH SMALL CONJUGACY CLASSES
Tamkang Journal of Mathematics, 1999 A group satisfies property (*) iff every conjugacy class has size not greater than 2. This paper proves properties of this type of group and conclude that it is a central product of an abelian group with 2-groups that are "almost" extra special.
How, G. A., Chuang, F. C.
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Sign Conjugacy Classes of the Symmetric Groups [PDF]
The Electronic Journal of Combinatorics, 2015 A conjugacy class $C$ of a finite group $G$ is a sign conjugacy class if every irreducible character of $G$ takes value 0, 1 or -1 on $C$. In this paper we classify the sign conjugacy classes of the symmetric groups and thereby verify a conjecture of Olsson.
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Groups with iterated restrictions on conjugacy classes
, 2023 Let be a group class (such as the class of all finite groups). Starting from , we can define the class C of all groups G such that, for any g G, the co-centralizer G/CG((g)G) of g in G is an -group; of course, if = , these are the well-known FC-groups ...
Ferrara M., Trombetti M.
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Base sizes for simple groups and a conjecture of Cameron [PDF]
, 2009 Let G be a permutation group on a finite set ?. A base for G is a subset B C_ ? whose pointwise stabilizer in G is trivial; we write b(G) for the smallest size of a base for G. In this paper we prove that b(G) ?
Burness, TC +5 more
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Groups with conjugacy classes of coprime sizes
Suppose that x, y are elements of a finite group G lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩ ∩ ⟨yG⟩ is an abelian normal subgroup of G and, as a consequence, that if x and y are π‐regular elements for some set of primes π, then xG ...
Parker, C. +8 more
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Results in Physics, 2020 In this paper, the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation is taken into consideration by means of Lie symmetry analysis. Infinitesimal generators are computed under the invariance criteria of Lie groups and symmetry group for each generator
Adil Jhangeer +5 more
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Group Extensions with Infinite Conjugacy Classes [PDF]
Confluentes Mathematici, 2017 We characterize the group property of being with infinite conjugacy classes (or icc , i.e. infinite and of which all conjugacy classes except { 1
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CHARACTER LEVELS AND CHARACTER BOUNDS
Forum of Mathematics, Pi, 2020 We develop the concept of character level for the complex irreducible characters of finite, general or special, linear and unitary groups. We give characterizations of the level of a character in terms of its Lusztig label and in terms of its degree ...
ROBERT M. GURALNICK +2 more
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