Group Theory : Permutation Groups and Counting Principles

Related BrainMass Solutions

• Counting Principle: Permutation Groups

  see attached This is a group theory proof regarding permutations and counting.

• Permutation Groups

  Modern Algebra Group Theory (CXI) Permutation Groups Another Counting Principle If O(G) =

• Group Theory : Conjugates and Permutation Groups

  89224 Group Theory : Conjugates and Permutation Groups Find the number of conjugates that the r-cycle (1 , 2 , ... , r) has in Sn . Please see the attached file for the complete solution.

• Group Theory: Number Of Conjugates

  Conjugates and permutation groups are investigated The solution is detailed and well presented.

• Group Theory : Cycles and Permutation Groups

  89033 Group Theory : Cycles and Permutation Groups In Sn prove that there are (1/r). [n!/( n - r ) ] distinct r cycles. Please see the attached file for the complete solution.

• Group Theory : If in a finite group G an element a has exactly two conjugates, prove that G has a normal subgroup N ≠ e , G.

  Herstein ------------------------------------------------------------------------------------------ Conjugates and permutation groups are investigated. The solution is detailed and well presented.

• Group Theory : Permutation Groups and Even Permutations

  88889 Group Theory : Permutation Groups and Even Permutations Determine which of the following are even permutations: (a) ( 1 2 3 ) (b) ( 1 2 3 4 5 )( 1 2 3 )( 4 5

• Group Theory : Permutation Groups

  88539 Group Theory : Permutation Groups Prove that there is no a such that a^( - 1 ) ( 1 , 2 , 3 ) a = ( 1 , 3 )( 5 , 7 , 8 ) Please see the attached file for the complete solution.

• Group Theory: Permutation Groups

  88892 Group Theory: Permutation Groups Given the permutation x=(1 2)(3 4), y=(1 4)(2 3), find a permutation a such that a^(-1)xa=y. Thank you for the help! Please see the attached MS Word file for the complete solution.