**Date & Time:** Monday, August 10, 2015, 14:15-15:15

**Venue:** Ramanujan Hall

**Title:** Normality of Amit Roy's group of elementary orthogonal
transformations

**Speaker:** Ravi Rao, TIFR Mumbai

**Abstract:** Let $(Q, q)$ be a inner product space over a
commutative ring $R$, and consider the Dickson-Siegel-Eichler-Roy's
subgroup of the orthogonal group $O_R(Q \perp H(R)^n)$, $n \geq 1$. We
show that it is a normal subgroup of $O_R(Q \perp H(R)^n)$, for all
$n$, except when $n = 2$. This is a joint work with A.A. Ambily.