Tohoku Mathematical Journal
2001
June
SECOND SERIES VOL. 53, NO. 2

Tohoku Math. J.
53 (2001), 203-240

Title A NOTE ON EXTENSIONS OF ALGEBRAIC AND FORMAL GROUPS, IV KUMMER-ARTIN-SCHREIER-WITT THEORY OF DEGREE $p^2$

Author Tsutomu Sekiguchi and Noriyuki Suwa

(Received July 12, 1999, revised March 24, 2000)
Abstract. We establish a formula for homomorphisms and extensions of group schemes and formal groups, related to deformations of the multiplicative group to the additive group. As an application, we give an explicit description of the theory unifying the Kummer and Artin-Schreier-Witt theories of degree $p^2$.

2000 Mathematics Subject Classification. Primary 14L05; Secondary 13K05, 20G10.

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