“Let $ G$ be a transitive group of permutations on a given set of letters. Let a new fixed letter be adjoined to every permutation of $ G$ . Then a transitive group $ H$ of permutations on the combined set of letters is called a transitive extension of $ G$ if it contains $ G$ as the largest subgroup fixing the new letter.”
… T. C. Holyoke, Transitive extensions of dihedral groups, Math. Zeitschr. Bd. 60, S. 79/80 (1954)
In this paper, Holyoke determined that the transitive extensions of dihedral groups are limited to the extensions: $ S_3$ (of $ D_2$ ), $ S_4$ (of $ D_3$ ) and $ PSL(2, 5)$ of $ D_5$ . My question is, what are all the transitive extensions of cyclic groups?
✓ Extra quality
ExtraProxies brings the best proxy quality for you with our private and reliable proxies
✓ Extra anonymity
Top level of anonymity and 100% safe proxies – this is what you get with every proxy package
✓ Extra speed
1,ooo mb/s proxy servers speed – we are way better than others – just enjoy our proxies!
USA proxy location
We offer premium quality USA private proxies – the most essential proxies you can ever want from USA
99,9% servers uptime
No usage restrictions
Perfect for SEO
We are working 24/7 to bring the best proxy experience for you – we are glad to help and assist you!