The Automorphism Group of p-Central p-Groups
Anitha Thillaisundaram

TL;DR
This paper investigates the automorphism groups of p-central p-groups, establishing that for certain finite p-central p-groups, the group's order divides the order of its automorphism group, revealing structural properties.
Contribution
It proves that for a subset of finite p-central p-groups, the order of the group divides the order of its automorphism group, a new divisibility property.
Findings
Order of G divides order of Aut(G) for certain p-central p-groups
Structural insights into automorphism groups of p-central p-groups
Extension of known automorphism group properties to p-central groups
Abstract
A p-group G is p-central if the central quotient has exponent p. We prove that for a subset of finite p-central p-groups, the order of the group G divides the order of Aut(G).
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Taxonomy
TopicsFinite Group Theory Research · Japanese History and Culture
