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Daniel Moskovich
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Automorphisms of non-abelian groups of order$order $ p^3$

There are two non-abelian groups of order $p^3$, namely, semi-direct product of$\mathbb Z /p \mathbb Z$ x $\mathbb Z /p \mathbb Z$$\mathbb Z /p \mathbb Z \times \mathbb Z /p \mathbb Z$ by $\mathbb Z /p \mathbb Z$ and semi-direct product of $\mathbb Z /p^2 \mathbb Z$ by $\mathbb Z /p \mathbb Z$. What are the automorphism groups of these groups?

Automorphisms of non-abelian groups of order$ p^3$

There are two non-abelian groups of order $p^3$, namely, semi-direct product of$\mathbb Z /p \mathbb Z$ x $\mathbb Z /p \mathbb Z$ by $\mathbb Z /p \mathbb Z$ and semi-direct product of $\mathbb Z /p^2 \mathbb Z$ by $\mathbb Z /p \mathbb Z$. What are the automorphism groups of these groups?

Automorphisms of non-abelian groups of order $ p^3$

There are two non-abelian groups of order $p^3$, namely, semi-direct product of $\mathbb Z /p \mathbb Z \times \mathbb Z /p \mathbb Z$ by $\mathbb Z /p \mathbb Z$ and semi-direct product of $\mathbb Z /p^2 \mathbb Z$ by $\mathbb Z /p \mathbb Z$. What are the automorphism groups of these groups?

Automorphisms of non-abelian groups of order p^3order$ p^3$

There are two non-abelian groups of order p^3$p^3$, namely, semi-direct product of Z/pZ$\mathbb Z /p \mathbb Z$ x Z/pZ$\mathbb Z /p \mathbb Z$ by Z/pZ$\mathbb Z /p \mathbb Z$ and semi-direct product of Z/(p^2)Z$\mathbb Z /p^2 \mathbb Z$ by Z/pZ$\mathbb Z /p \mathbb Z$. What are the automorphism groups of these groups?

Automorphisms of non-abelian groups of order p^3

There are two non-abelian groups of order p^3, namely, semi-direct product of Z/pZ x Z/pZ by Z/pZ and semi-direct product of Z/(p^2)Z by Z/pZ. What are the automorphism groups of these groups?

Automorphisms of non-abelian groups of order$ p^3$

There are two non-abelian groups of order $p^3$, namely, semi-direct product of$\mathbb Z /p \mathbb Z$ x $\mathbb Z /p \mathbb Z$ by $\mathbb Z /p \mathbb Z$ and semi-direct product of $\mathbb Z /p^2 \mathbb Z$ by $\mathbb Z /p \mathbb Z$. What are the automorphism groups of these groups?

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Lee Mosher
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Soluble
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