The group of automorphisms of a class of finite $p$-groups
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- by Arye Juhรกsz PDF
- Trans. Amer. Math. Soc. 270 (1982), 469-481 Request permission
Abstract:
Let $G$ be a finite $p$-group and denote by ${K_i}(G)$ the members of the lower central series of $G$. We call $G$ of type $(m, n)$ if (a) $G$ has nilpotency class $m - 1$, (b) $G/{K_2}(G) \cong {{\mathbf {Z}}_{{p^n}}} \times {{\mathbf {Z}}_{{p^n}}}$ and ${K_i}(G)/{K_{i + 1}}(G) \cong {{\mathbf {Z}}_{{p^n}}}$ for every $i$, $2 \leqslant i \leqslant n - 1$. In this work we describe the structure of $\operatorname {Aut} (G)$ and certain relations between $\operatorname {Out} (G)$ and $G$.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 270 (1982), 469-481
- MSC: Primary 20D45
- DOI: https://doi.org/10.1090/S0002-9947-1982-0645325-3
- MathSciNet review: 645325