On groups of order ${{8!} \mathord{\left/ {\vphantom {{8!} 2}} \right. \kern-\nulldelimiterspace} 2}$

. A T ] 2 8 A ug 2 00 8 THE CHOW RINGS OF THE ALGEBRAIC GROUPS

We determine the Chow rings of the complex algebraic groups E6 and E7, giving the explicit generators represented by the pullback images of Schubert varieties of the corresponding flag varieties. This is a continuation of the work of R. Marlin on the computation of the Chow rings of SOn(C), Spinn(C), G2, and F4.

O ct 2 00 8 ON O - MINIMAL HOMOTOPY GROUPS

We work over an o-minimal expansion of a real closed field. The o-minimal homotopy groups of a definable set are defined naturally using definable continuous maps. We prove that any two semialgebraic maps which are definably homotopic are also semialgebraically homotopic. This result together with the study of semialgebraic homotopy done by H. Delfs and M. Knebusch allows us to develop an o-min...

Vol. 8, No. 2 , 2019

Cover vol. 8, no. 2, June 2011

groups of order $p^8$ and exponent $p$

we prove that for $p>7$ there are‎ ‎[‎ ‎p^{4}+2p^{3}+20p^{2}+147p+(3p+29)gcd (p-1,3)+5gcd (p-1,4)+1246‎ ‎] ‎groups of order $p^{8}$ with exponent $p$‎. ‎if $p$ is a group of order $p^{8}$‎ ‎and exponent $p$‎, ‎and if $p$ has class $c>1$ then $p$ is a descendant of $‎p/gamma _{c}(p)$‎. ‎for each group of exponent $p$ with order less than $‎p^{8} $ we calculate the number of descendants of o...