Results 11 to 20 of about 151,737 (266)
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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Journal of Rehabilitation Medicine, 2022 Objective: To examine whether alternating training with both the non-paretic and paretic sides (alternating bilateral training), expecting trial-to-trial inter-limb transfer of training effects from the nonparetic to the paretic side, improves upper ...
Masashi Kumagai +8 more
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Infinite locally finite simple groups with many complemented subgroups [PDF]
International Journal of Group Theory, 2022 We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite ...
Maria Ferrara, Marco Trombetti
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Journal of Exercise Science & Fitness, 2022 Background/Objectives: High-intensity interval training (HIIT) or moderate-intensity continuous training (MICT) alone has been shown to improve metabolic health, but the effects of alternating the two training approaches as often practiced in real life ...
Eric Tsz-Chun Poon +4 more
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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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Factorization of groups involving symmetric and alternating groups
International Journal of Mathematics and Mathematical Sciences, 2001 We obtain the structure of finite groups of the form G=AB where B is a group isomorphic to the symmetric group on n letters Sn, n≥5 and A is a group isomorphic to the alternating group on 6 letters.
M. R. Darafsheh, G. R. Rezaeezadeh
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Computations Stiefel-Whitney classes of real representations for non-prime power groups
Wasit Journal for Pure Sciences, 2023 In the current study, the researchers conduct computation of the Stiefel- Whitney classes of real representations of non-prime power groups such as Mathieu groups, symmetric groups, alternating groups and Janko groups.
Marwah Yasir
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Permutation statistics on the alternating group
Advances in Applied Mathematics, 2004 45 ...
Amitai Regev, Yuval Roichman
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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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