Mathematics, 2020 The structure of the commutator subgroup of Sylow 2-subgroups of an alternating group A 2 k is determined. This work continues the previous investigations of me, where minimal generating sets for Sylow 2-subgroups of alternating groups were ...
Ruslan V. Skuratovskii
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Top-Down Construction of Independent Spanning Trees in Alternating Group Networks
IEEE Access, 2020 A set of spanning trees in a graph G is called independent spanning trees (ISTs) if they are rooted at the same vertex r, and for each vertex v(≠ r) in G, the two paths from v to r in any two trees share no common vertex expect for v and r.
Jie-Fu Huang +3 more
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Product mixing in the alternating group [PDF]
Discrete Analysis, 2016 Product mixing in the alternating group, Discrete Analysis 2016:2, 18 pp. Growth and mixing of subsets of groups is a major theme in group theory. The former concerns lower bounds for the sizes of product sets, especially of the form $A^k$, where $A$ is
Sean Eberhard
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The round functions of KASUMI generate the alternating group
Journal of Mathematical Cryptology, 2015 We show that the round functions of the KASUMI block cipher for odd and even round type generate the alternating group on the message space. Moreover, under the assumption of independent round keys, we prove that also the KASUMI two-round functions and ...
Sparr Rüdiger, Wernsdorf Ralph
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Measuring the Vulnerability of Alternating Group Graphs and Split-Star Networks in Terms of Component Connectivity [PDF]
IEEE Access, 2019 For an integer ℓ ≥ 2, the ℓ-component connectivity of a graph G, denoted by κℓ(G), is the minimum number of vertices whose removal from G results in a disconnected graph with at least ℓ components or a graph with
Mei-Mei Gu, Rong-Xia Hao, Jou-Ming Chang
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Immediate Effect of Whole-Body Vibration Exercise Performed in Vertical Versus Side-Alternating Displacement Modes on Physiological Parameters, Perception of Effort, Strength and Functionality in Adults with Obesity [PDF]
DiagnosticsBackground: Obesity, defined as an abnormal accumulation of body fat, is becoming a global epidemic. Individuals with obesity may present with increased abdominal fat, which is associated with hypertension, altered respiratory mechanics, higher resting ...
Aline Reis-Silva +12 more
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Factorization of groups involving symmetric and alternating groups [PDF]
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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Alternate-day alternating monotherapy (q48h) versus daily concomitant atorvastatin–fenofibrate in adults with type 2 diabetes and mixed dyslipidemia: a 12-week randomized non-inferiority trial [PDF]
BMC Endocrine DisordersPurpose To test the non-inferiority of alternate-day alternating monotherapy (q48h) versus daily concomitant atorvastatin–fenofibrate for change in LDL-C in adults with T2DM and mixed dyslipidemia (margin δ = 13 mg/dL). Methods Single-center, randomized,
Soheil Shahramirad +4 more
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Characterization of some alternating groups by order and largest element order [PDF]
AUT Journal of Mathematics and Computing, 2022 The prime graph (or Gruenberg-Kegel graph) of a finite group is a well-known graph. In this paper, first, we investigate the structure of the finite groups with a non-complete prime graph.
Ali Mahmoudifar, Ayoub Gharibkhajeh
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On the base size of the symmetric and the alternating group acting on partitions [PDF]
, 2021 Given three positive integers n , a , b with n = a b , we determine the base size of the symmetric group and of the alternating group of degree n in their action on the set of partitions into b parts having cardinality a.
Joy Morris, Pablo Spiga
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