The Order of Automorphism Group of One Special Family of p-Group
Lan Yong-hong
Abstract
Lan Yong-hong
Abstract
In this paper,the knowledge of group theory and elementary number theory are combined densely.By analyzing the character of some special defining relations of p-group of in [1](p is an odd prime) and automorphism,the order of automorphism group of has been worked out.
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In this paper,the knowledge of group theory and elementary number theory are combined densely.By analyzing the character of some special defining relations of p-group of in [1](p is an odd prime) and automorphism,the order of automorphism group of has been worked out.
Key concepts: Outer automorphism group, Inner automorphism, p-group, Mathematics, Group (periodic table), Automorphism, Order (exchange), Character (mathematics)