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Solvability of group of order $pqrs$
1
If $p,q,r,s$ are distinct primes,and $G$ is a group of order $pqrs$,then is $G$ solvable ?
abstract-algebra group-theory finite-groups
asked Nov 27 '15 at 12:27
Jagdeep Singh
13915
add a comment |
1
If $p,q,r,s$ are distinct primes,and $G$ is a group of order $pqrs$,then is $G$ solvable ?
abstract-algebra group-theory finite-groups
asked Nov 27 '15 at 12:27
Jagdeep Singh
13915
1
Yes. There might be an elementary argument, but it follows from Burnside's transfer theorem that it is in fact supersolvable (as is any group of squarefree order).
– Tobias Kildetoft
Nov 27 '15 at 12:28
1
Yes, see the question here. As Robinson says in the comment, the proof will need some non-trivial group theory.
– Dietrich Burde
Nov 27 '15 at 13:01
add a comment |
1
1
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If $p,q,r,s$ are distinct primes,and $G$ is a group of order $pqrs$,then is $G$ solvable ?
abstract-algebra group-theory finite-groups
asked Nov 27 '15 at 12:27
Jagdeep Singh
13915
If $p,q,r,s$ are distinct primes,and $G$ is a group of order $pqrs$,then is $G$ solvable ?
abstract-algebra group-theory finite-groups
abstract-algebra group-theory finite-groups
asked Nov 27 '15 at 12:27
Jagdeep Singh
13915
asked Nov 27 '15 at 12:27
Jagdeep Singh
13915
asked Nov 27 '15 at 12:27
Jagdeep Singh
13915
asked Nov 27 '15 at 12:27
Jagdeep Singh
13915
asked Nov 27 '15 at 12:27
Jagdeep Singh
13915
13915
1
Yes. There might be an elementary argument, but it follows from Burnside's transfer theorem that it is in fact supersolvable (as is any group of squarefree order).
– Tobias Kildetoft
Nov 27 '15 at 12:28
1
Yes, see the question here. As Robinson says in the comment, the proof will need some non-trivial group theory.
– Dietrich Burde
Nov 27 '15 at 13:01
add a comment |
1
Yes. There might be an elementary argument, but it follows from Burnside's transfer theorem that it is in fact supersolvable (as is any group of squarefree order).
– Tobias Kildetoft
Nov 27 '15 at 12:28
1
Yes, see the question here. As Robinson says in the comment, the proof will need some non-trivial group theory.
– Dietrich Burde
Nov 27 '15 at 13:01
1
1
Yes. There might be an elementary argument, but it follows from Burnside's transfer theorem that it is in fact supersolvable (as is any group of squarefree order).
– Tobias Kildetoft
Nov 27 '15 at 12:28
Yes. There might be an elementary argument, but it follows from Burnside's transfer theorem that it is in fact supersolvable (as is any group of squarefree order).
– Tobias Kildetoft
Nov 27 '15 at 12:28
1
1
Yes, see the question here. As Robinson says in the comment, the proof will need some non-trivial group theory.
– Dietrich Burde
Nov 27 '15 at 13:01
Yes, see the question here. As Robinson says in the comment, the proof will need some non-trivial group theory.
– Dietrich Burde
Nov 27 '15 at 13:01
add a comment |
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1
Yes. There might be an elementary argument, but it follows from Burnside's transfer theorem that it is in fact supersolvable (as is any group of squarefree order).
– Tobias Kildetoft
Nov 27 '15 at 12:28
1
Yes, see the question here. As Robinson says in the comment, the proof will need some non-trivial group theory.
– Dietrich Burde
Nov 27 '15 at 13:01