Orders of Automorphism Groups of the p~6 Groups of Family Φ_(24)
Qiu Li-qiong
Abstract
Qiu Li-qiong
Abstract
Using the metabelian property, regularity, p-commutativity and some properties of congruence, this paper gave the orders of automorphism groups of family Φ24, which are the groups of order p6 determined by Rodney James, where p denotes an odd prime.
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Using the metabelian property, regularity, p-commutativity and some properties of congruence, this paper gave the orders of automorphism groups of family Φ24, which are the groups of order p6 determined by Rodney James, where p denotes an odd prime.
Key concepts: Automorphism, Mathematics, Prime (order theory), Congruence (geometry), Combinatorics, Inner automorphism, Property (philosophy), Automorphism group