We prove that if p is a prime and W is the standard wreath product of two nontrivial cyclic p-groups X and Y then W is isomorphic to the full automorphism group of some group if and only if |X|=2 and |Y| is 2 or 4.
WREATH PRODUCTS OF CYCLIC P-GROUPS AS AUTOMORPHISM GROUPS / Cutolo, Giovanni; H., Smith; J., Wiegold. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 282:2(2004), pp. 610-625. [10.1016/j.jalgebra.2003.08.023]
WREATH PRODUCTS OF CYCLIC P-GROUPS AS AUTOMORPHISM GROUPS
CUTOLO, GIOVANNI;
2004
Abstract
We prove that if p is a prime and W is the standard wreath product of two nontrivial cyclic p-groups X and Y then W is isomorphic to the full automorphism group of some group if and only if |X|=2 and |Y| is 2 or 4.File in questo prodotto:
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