Algebraic structure of the group of p-permutations on tally sets : Extended Abstract
Tetsuro Nishino · Kyoto University Research Information Repository (Kyoto University) · 1989
Let $G_{p}^{t}$ be the group of p-permutations on tally sets.In this paper, we will show that $G_{p}^{\iota}\triangleright F_{p}\triangleright A_{p}\triangleright\{id\}$ is the unique composition series for $G_{p}^{t}$ , where $F_{p}$ is a normal subgroup of $G_{p}^{t}$ composed of finite p-permutations, and $A_{p}$ is a normal subgroup of $F_{p}$ of index 2, and $id$ is the identity p-permutation.