Nested symmetric representation of elements of the Suzuki chain groups. (English) Zbl 1040.20010

Sayed, Mohamed

Int. J. Math. Math. Sci. 2003, No. 62, 3931-3948 (2003).

Symmetric presentations in the sense of R. T. Curtis are found for all the groups in the so-called Suzuki chain \[ L_3(2): 2< U_3(3): 2< J_2: 2< G_2(4): 2< 3\cdot \text{Suz}: 2 \] of subgroups of the Conway group \(\text{Co}_1\).

Reviewer: R. Wilson (Birmingham)

MSC:

20D08	Simple groups: sporadic groups
20F05	Generators, relations, and presentations of groups
20D06	Simple groups: alternating groups and groups of Lie type

Keywords:

symmetric presentation; sporadic groups; Conway group