A $p$-group $G$ is $p$-central if $G^{p}\le Z(G)$, and $G$ is $p^{2}$-abelian if $(xy)^{p^{2}}=x^{p^{2}}y^{p^{2}}$ for all $x,y\in G$. We prove that for $G$ a finite $p^{2}$-abelian $p$-central $p$-group, excluding certain cases, the order of $G$ divides the order of $\text{Aut}(G)$.
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Thillaisundaram, A. (2012). The automorphism group for $p$-central $p$-groups. International Journal of Group Theory, 1(2), 59-71. doi: 10.22108/ijgt.2012.745
MLA
Anitha Thillaisundaram. "The automorphism group for $p$-central $p$-groups". International Journal of Group Theory, 1, 2, 2012, 59-71. doi: 10.22108/ijgt.2012.745
HARVARD
Thillaisundaram, A. (2012). 'The automorphism group for $p$-central $p$-groups', International Journal of Group Theory, 1(2), pp. 59-71. doi: 10.22108/ijgt.2012.745
VANCOUVER
Thillaisundaram, A. The automorphism group for $p$-central $p$-groups. International Journal of Group Theory, 2012; 1(2): 59-71. doi: 10.22108/ijgt.2012.745
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