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Home > Art, Film & Photography > Subgroup Properties: Normal Subgroup, Characteristic Subgroup, Carter Subgroup, Pure Subgroup, Hall Subgroup, Quasinormal Subgroup, Component
Subgroup Properties: Normal Subgroup, Characteristic Subgroup, Carter Subgroup, Pure Subgroup, Hall Subgroup, Quasinormal Subgroup, Component

Subgroup Properties: Normal Subgroup, Characteristic Subgroup, Carter Subgroup, Pure Subgroup, Hall Subgroup, Quasinormal Subgroup, Component


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 108. Not illustrated. Chapters: Normal Subgroup, Characteristic Subgroup, Carter Subgroup, Pure Subgroup, Hall Subgroup, Quasinormal Subgroup, Component, Subnormal Subgroup, Pronormal Subgroup, Maximal Subgroup, Ascendant Subgroup, C Closed Subgroup, Fully Characteristic Subgroup, Fully Normalized Subgroup, Retract, Transitively Normal Subgroup, Weakly Normal Subgroup, Paranormal Subgroup, Conjugate-Permutable Subgroup, Sa Subgroup, Central Subgroup, Essential Subgroup, Cep Subgroup, Abnormal Subgroup, Verbal Subgroup, C Normal Subgroup, Seminormal Subgroup, Malnormal Subgroup, Semipermutable Subgroup, Polynormal Subgroup, Descendant Subgroup, Centrally Closed Subgroup, Modular Subgroup, Contranormal Subgroup, Fully Invariant Subgroup, Subabnormal Subgroup, Sylow Subgroup. Excerpt: In the mathematical subject known as group theory, given a group G under a binary operation *, we say that some subset H of G is a subgroup of G if H also forms a group under the operation *. More precisely, H is a subgroup of G if the restriction of * to H x H is a group operation on H. This is usually represented notationally by H G, read as "H is a subgroup of G." A proper subgroup of a group G is a subgroup H which is a proper subset of G (i.e. H G). The trivial subgroup of any group is the subgroup {e} consisting of just the identity element. If H is a subgroup of G, then G is sometimes called an overgroup of H. The same definitions apply more generally when G is an arbitrary semigroup, but this article will only deal with subgroups of groups. The group G is sometimes denoted by the ordered pair (G, *), usually to emphasize the operation * when G carries multiple algebraic or other structures. In the following, we follow the usual convention of dropping * and writing the product a*b as simply ab. Let G be the abelian group whose elements are and wh...


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Product Details
  • ISBN-13: 9781155685762
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 229 mm
  • No of Pages: 110
  • Spine Width: 7 mm
  • Weight: 172 gr
  • ISBN-10: 1155685768
  • Publisher Date: 15 Sep 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Normal Subgroup, Characteristic Subgroup, Carter Subgroup, Pure Subgroup, Hall Subgroup, Quasinormal Subgroup, Component
  • Width: 152 mm


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