Normal subgroup

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1

THE SCHUR–ZASSENHAUS THEOREM KEITH CONRAD When N is a normal subgroup of G, can we reconstruct G from N and G/N ? In general, no. For instance, the groups Z/(p2 ) and Z/(p) × Z/(p) (for prime p) are nonisomorphic, but

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Source URL: www.math.uconn.edu

Language: English - Date: 2016-12-17 14:23:25
    2

    SUBGROUP SERIES I KEITH CONRAD 1. Introduction If N is a nontrivial proper normal subgroup of a finite group G then N and G/N are smaller than G. While it is false that G can be completely reconstructed from knowledge

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    Source URL: www.math.uconn.edu

    Language: English - Date: 2016-12-17 15:15:38
      3

      SUBGROUP SERIES II KEITH CONRAD 1. Introduction In part I, we met nilpotent and solvable groups, defined in terms of normal series. Recalling the definitions, a group G is called nilpotent if it admits a normal series (1

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      Source URL: www.math.uconn.edu

      Language: English - Date: 2016-12-17 15:20:35
        4

        HomeworkFind a normal subgroup of S4 of orderShow that a group of order 385 is solvable. 3. Write (x2 + y 2 )(x2 + z 2 )(y 2 + z 2 )

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        Source URL: www.math.nyu.edu

        - Date: 2016-10-06 21:08:54
          5

          Restricting representations to a normal subgroup - Compact Quantum Groups Alfried Krupp Wissenschaftskolleg Greifswald

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          Source URL: www.wiko-greifswald.de

          - Date: 2016-07-19 06:40:40
            6

            Restricting representations to a normal subgroup - Compact Quantum Groups Alfried Krupp Wissenschaftskolleg Greifswald

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            Source URL: www.wiko-greifswald.de

            - Date: 2016-07-19 06:40:58
              7Group theory / Algebra / Abstract algebra / Finite groups / Sylow theorems / Supersolvable group / Normal p-complement / Solvable group / P-group / Subnormal subgroup / Subgroup / Quasinormal subgroup

              255 Documenta Math. Local Classes and Pairwise Mutually Permutable Products of Finite Groups

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              Source URL: documenta.sagemath.org

              Language: English - Date: 2010-05-08 16:46:09
              8Group theory / Algebra / Abstract algebra / Finite groups / Focal subgroup theorem / FeitThompson theorem / P-group / Hall subgroup / SchurZassenhaus theorem / Normal p-complement / Abelian group / Solvable group

              TOPIC PROPOSAL: THE STRUCTURE OF FINITE GROUPS VIPUL NAIK DISCUSSED WITH GEORGE GLAUBERMAN The typical college course in group theory covers groups, homomorphisms, normal subgroups, quotients, and group actions. This is

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              Source URL: files.vipulnaik.com

              Language: English - Date: 2016-08-13 11:33:29
              9Group theory / Algebra / Abstract algebra / Finite groups / Sylow theorems / Quasinormal subgroup / P-group / Nilpotent group / Normal p-complement / Normal subgroup / Maximal subgroup / Solvable group

              ✐ ✐ ✐ “BN11N23” — — 21:46 — page 359 — #1

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              Source URL: w3.math.sinica.edu.tw

              Language: English - Date: 2016-06-06 22:30:39
              10Algebra / Abstract algebra / Mathematics / Representation theory / Group theory / Group representation / Gelfand pair / Frobenius group

              Restricting representations to a normal subgroup - Compact Quantum Groups Alfried Krupp Wissenschaftskolleg Greifswald

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              Source URL: www.wiko-greifswald.de

              Language: English - Date: 2016-07-19 06:40:49
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