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Symmetric and Alternating Groups
2018We have seen the definition of the symmetric group \(S_n\), but so far, we do not have too much experience with it. In this chapter, we will introduce the notions of cycles and, in particular, transpositions, which are important elements of the symmetric group. These will help us to understand the group.
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A characterization of alternating groups. II
Algebra and Logic, 2006[For part I, cf. Algebra Logika 44, No. 1, 54-69 (2005); translation in Algebra Logic 44, No. 1, 31-39 (2005; Zbl 1096.20004).] Summary: Let \(G\) be a group. A subset \(X\) of \(G\) is called an \(A\)-subset if \(X\) consists of elements of order 3, \(X\) is invariant in \(G\), and any two non-commuting members of \(X\) generate a subgroup isomorphic ...
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Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
exaly
Social determinants of health and US cancer screening interventions: A systematic review
Ca-A Cancer Journal for Clinicians, 2023Ariella R Korn
exaly

