## Hiroshima Mathematical Journal

### On non-commutative extensions of $\widehat{\G}_a$ by $\widehat{\Gg}^{(M)}$\\ over an ${\F}_p$-algebra

Yuki Haraguchi

#### Abstract

We will give an explicit description of non-commutative extensions over an ${\F}_p$-algebra of the additive group scheme (resp. the additive formal group scheme) by the group scheme (resp. the formal group scheme) which gives a deformation of the additive group scheme to the multiplicative group scheme (resp. the additive formal group scheme to the multiplicative formal group scheme).

#### Article information

Source
Hiroshima Math. J., Volume 37, Number 1 (2007), 81-99.

Dates
First available in Project Euclid: 11 April 2007

https://projecteuclid.org/euclid.hmj/1176324096

Digital Object Identifier
doi:10.32917/hmj/1176324096

Mathematical Reviews number (MathSciNet)
MR2308525

Zentralblatt MATH identifier
1120.14037

Subjects
Primary: 14L05: Formal groups, $p$-divisible groups [See also 55N22]
Secondary: 13K05 20G10: Cohomology theory

#### Citation

Haraguchi, Yuki. On non-commutative extensions of $\widehat{\G}_a$ by $\widehat{\Gg}^{(M)}$\\ over an ${\F}_p$-algebra. Hiroshima Math. J. 37 (2007), no. 1, 81--99. doi:10.32917/hmj/1176324096. https://projecteuclid.org/euclid.hmj/1176324096