✦ LIBER ✦
Non-isomorphic 2-groups Coincide at Most in Three Quarters of their Multiplication Tables
✍ Scribed by Aleš Drápal
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 219 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
✦ Synopsis
ALE Š DR ÁPAL † Let G(•) and G( * ) be two groups of the finite order n, and let d be the size of the set {(a, b) ∈ G × G; a • b = a * b}. Let P and Q be Sylow 2-subgroups of G(•) and G( * ), respectively. If d is less than n 2 /4, then there exists an isomorphism ϑ : P Q, and the normalizers of P and Q have the same order.