Salvaged from MathOverflow.
Tag: Algebra
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Salvaged from mathoverflow.
Often considered as “elementary” and overlooked, but requires a complete understanding of definitions.
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The following memo describes the subgroup structure of dihedral groups. As long as the site owner knows, no textbooks on abstract algebra (and general group theory, for that matter) discuss the subgroup structure. So this memo might be of some help to the students of mathematics. Caveat: the site owner no longer remembers where he got the information.
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This is the result of the site owner’s struggle to understand algebra (i.e., theory of groups, rings, fields, etc.) with the starting point based on Modern Algebra by professor Akira Hattori.
There is no claim for originality; in fact, it is a hodge-podge of citations from literally hundreds of textbooks and articles.
Caveat: The chapter 12 Algebraic K-theory is only sketchy.
MMM 