To Be Presented in the 11th Asian Technology Conference in Mathematics December 12-16, 2006, Hong Kong SAR, China |
||

## Grobner-Shirshov bases for Schreier extensions of groupsYuqun ChenSchool of Mathematical Sciences South China Normal University China
## Abstract Let A, B, G be groups. G is called a Schreier extensions of A
by B if A is a normal subgroup of G and G/A is isomorphic to B.
In this paper, by using the Grobner-Shirshov bases, we give characterizations
of the Schreier extensions of groups when the group B is presented
by generators and relations. An algorithm to find the conditions
of a group G to be a Schreier extension of A by B is obtained. By
introducing a special well order, we obtain the structure of the
Schreier extension by an HNN group. |
||

close window | Electronic Proceedings of ATCM |
© ATCM,
Inc. 2006 |