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Isomorphism of strong starters in cyclic groups

✍ Scribed by K.T. Phelps; S.A. Vanstone


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
364 KB
Volume
57
Category
Article
ISSN
0097-3165

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ALE Ε  DR ÁPAL † Let G(β€’) and G( \* ) be two groups of the finite order n, and let d be the size of the set {(a, b) ∈ G Γ— G; a β€’ b = a \* b}. Let P and Q be Sylow 2-subgroups of G(β€’) and G( \* ), respectively. If d is less than n 2 /4, then there exists an isomorphism Ο‘ : P Q, and the normalizers of