Open AccessA Note on Embeddings of $S_4$ and $A_5$ into the Two-dimensional Cremona Group and Versal Galois Covers
Author(s) -
Shinzo Bannai,
Hiroo Tokunaga
Publication year - 2007
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1201012381
Subject(s) - mathematics , group (periodic table) , pure mathematics , chemistry , organic chemistry
In this article, we prove that two versal Galois covers for S4 and A5 introduced in [17], [18] and [19] are birationally distinct to each other. As a corollary, we obtain two non-conjugate embeddings of S4 and A5 into Cr2(C).
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom