Results 11 to 20 of about 159,166 (301)
The Navarro conjecture for the alternating groups [PDF]
Algebra & Number Theory, 2021 Recently Navarro proposed a strengthening of the unsolved McKay conjecture using Galois automorphisms. We prove that the Navarro conjecture holds for the alternating groups when the prime p is odd.
Brunat, Olivier, Nath, Rishi
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OD-characterization of alternating groups Ap+d
Open Mathematics, 2017 Let An be an alternating group of degree n. Some authors have proved that A10, A147 and A189 cannot be OD-characterizable. On the other hand, others have shown that A16, A23+4, and A23+5 are OD-characterizable.
Yang Yong, Liu Shitian, Zhang Zhanghua
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The real genus of the alternating groups
Revista Matemática Iberoamericana, 2008 A Klein surface with boundary of algebraic genus \mathfrak{p}\geq 2 , has at most 12(\mathfrak{p}-1) automorphisms. The groups attaining this upper bound are called
Etayo Gordejuela , José Javier +1 more
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On the representation theory of the alternating groups [PDF]
International Journal of Group Theory, 2013 We present the basic results on the representation theory of the alternating groups. Our approach is based on Clifford theory.
Tullio Ceccherini-Silberstein +2 more
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Frobenius Classes in Alternating Groups
Rocky Mountain Journal of Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roberts, David P.
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On generalized blocks for alternating groups
Journal of Algebra, 2006 For a finite group \(G\) and a union of conjugacy classes, \(\mathcal C\), of \(G\), \textit{B.~Külshammer, J.~B.~Olsson} and \textit{G.~R.~Robinson} [Invent. Math. 151, No. 3, 513-552 (2003; Zbl 1043.20007)] introduced the notion of a \(\mathcal C\)-block of \(G\) generalizing the classical notion of a \(p\)-block for a prime \(p\).
Maróti, Attila
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Covering Theorem for Alternating Groups
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2005 For the alternating group An J. L. Brenner, through a series of papers showed that the class C of n- cycle or (n-1)- cycle, CCC covers A, for n = 4k - 1, 4k and 4k + 1, In this paper, the contumacy class of type (2)(n-2),n>6and n 1S even was studied ...
Sh. S. Al-Bundi
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The cohomology of the alternating groups. [PDF]
Michigan Mathematical Journal, 1985 Let p be an odd prime. The author investigates mod p-cohomology of the alternating group \(A_{p^ n}\). He exploits the fact that in this case the regular representation \(({\mathbb{Z}}/p)^ n\hookrightarrow S_{p^ n}\) in the symmetric group factors through the alternating group.
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String C-group representations of alternating groups [PDF]
Ars Mathematica Contemporanea, 2019 We prove that for any integer $n\geq 12$, and for every $r$ in the interval $[3, \ldots, \lfloor (n-1)/2\rfloor]$, the group $A_n$ has a string C-group representation of rank $r$ therefore showing that the only alternating group whose set of ranks is not an interval is $A_{11}$.
Maria Elisa Fernandes, Dimitri Leemans
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On base sizes for symmetric groups [PDF]
, 2011 A base of a permutation group G on a set is a subset B of such that the pointwise stabilizer of B in G is trivial. The base size of G, denoted by b(G), is the minimal cardinality of a base.
Guralnick, Robert M. +7 more
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