Let G=S, be group of permuatations on n symbols, then which of the following can be...

Transcribed Image Text:

Let G=S, be group of permuatations on n symbols, then which of the following can be True ? There exist a subgroup H of A¡ such that [4¡ : H] = 2 There exist a subgroup Hof S, such that [S: H]=48 The number of conjuagate classe in S₁, n ≥ 3 is always greater than 3 The smallest positive integer n such that S has an element greater than 2n is 9 Let G=S, be group of permuatations on n symbols, then which of the following can be True ? There exist a subgroup H of A¡ such that [4¡ : H] = 2 There exist a subgroup Hof S, such that [S: H]=48 The number of conjuagate classe in S₁, n ≥ 3 is always greater than 3 The smallest positive integer n such that S has an element greater than 2n is 9

Answer rating: 100% (QA)

The detailed ... View the full answer