Skip to main content
MathOverflow

Return to Question

Improved formatting
Source Link
Jeremy Rouse
Jeremy Rouse
  • 20.4k
  • 2
  • 79
  • 105

If G=MV, is a semi product group of an elementary abelian p-group of size |V|=p^e and M is a subgroup of G. If f is the natural projection from G onto M. C_x={x^G} is a conjugacyclass. I would like to prove |f^-1(m)\cap C_x|>=p, m\in M. Do you think such result is true? Best reagrds Ha.

Suppose $G=V \rtimes M$, is a semi product group of an elementary abelian p-group of size $|V|=p^e$ and $M$ is a subgroup of $G$. If $f$ is the natural projection from $G$ onto $M$. $C_x=\{x^G\}$ is a conjugacy class. I would like to prove $|f^{-1}(m)\cap C_x|\geq p, m\in M$. Do you think such result is true? Best regards Ha.

If G=MV, is a semi product group of an elementary abelian p-group of size |V|=p^e and M is a subgroup of G. If f is the natural projection from G onto M. C_x={x^G} is a conjugacyclass. I would like to prove |f^-1(m)\cap C_x|>=p, m\in M. Do you think such result is true? Best reagrds Ha.

Suppose $G=V \rtimes M$, is a semi product group of an elementary abelian p-group of size $|V|=p^e$ and $M$ is a subgroup of $G$. If $f$ is the natural projection from $G$ onto $M$. $C_x=\{x^G\}$ is a conjugacy class. I would like to prove $|f^{-1}(m)\cap C_x|\geq p, m\in M$. Do you think such result is true? Best regards Ha.

Source Link
haval
haval
  • 1

Semi direct product group

If G=MV, is a semi product group of an elementary abelian p-group of size |V|=p^e and M is a subgroup of G. If f is the natural projection from G onto M. C_x={x^G} is a conjugacyclass. I would like to prove |f^-1(m)\cap C_x|>=p, m\in M. Do you think such result is true? Best reagrds Ha.