Results 31 to 40 of about 6,235 (209)
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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Characteristics of the Number of Conjugacy Classes and P-Regular Classes in Finite Symmetric Groups
IOP Conference Series: Materials Science and Engineering, 2019 In this work, the number of p – regular classes Nprc(Sn) in symmetric group Sn is always less than or equal to the number of conjugacy classes Nc(Sn) in Sn is shown.
S. Khalil, Nadia M. Ali Abbas
semanticscholar +1 more source
Finite groups have more conjugacy classes [PDF]
, 2015 We prove that for every $\epsilon > 0$ there exists a $\delta > 0$ so that every group of order $n \geq 3$ has at least $\delta \log_{2} n/{(\log_{2} \log_{2} n)}^{3+\epsilon}$ conjugacy classes. This sharpens earlier results of Pyber and Keller. Bertram
B. Baumeister +2 more
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Characters, conjugacy classes and centrally large subgroups of p-groups of small rank
Journal of Algebra, 2011 Burkhard Külshammer +1 more
exaly +2 more sources
Graphs associated to conjugacy classes of normal subgroups in finite groups [PDF]
, 2015 Let G be a finite group and let N be a normal subgroup of G . We attach to N two graphs Γ G ( N ) and Γ G ⁎ ( N ) related to the conjugacy classes of G contained in N and to the set of primes dividing the sizes of these classes, respectively.
A. Beltrán, M. J. Felipe, C. Melchor
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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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Conjugacy classes and finite p-groups [PDF]
Archiv der Mathematik, 2005 Let $G$ be a finite $p$-group, where $p$ is a prime number, and $a\in G$. Denote by $\Cl(a)=\{gag^{-1}\mid g\in G\}$ the conjugacy class of $a$ in $G$. Assume that $|\Cl(a)|=p^n$. Then $\Cl(a)\Cl(a^{-1})=\{xy\mid x\in \Cl(a), y\in \Cl(a^{-1})\}$ is the union of at least $n(p-1)+1$ distinct conjugacy classes of $G$.
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A survey on conjugacy class graphs of groups [PDF]
Expositiones mathematicaeThere are several graphs defined on groups. Among them we consider graphs whose vertex set consists conjugacy classes of a group $G$ and adjacency is defined by properties of the elements of conjugacy classes.
Peter J. Cameron +3 more
semanticscholar +1 more source
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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