A finite presentation of the level $2$ principal congruence subgroup of $GL(n;\mathbb{Z})$
Ryoma Kobayashi
Abstract
Open-access reader
Ryoma Kobayashi
Abstract
Open-access reader
It is known that the level $2$ principal congruence subgroup of $GL(n;\mathbb{Z})$ has a finite generating set. In this paper, we give a finite presentation of the level $2$ principal congruence subgroup of $GL(n;\mathbb{Z})$.
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It is known that the level $2$ principal congruence subgroup of $GL(n;\mathbb{Z})$ has a finite generating set. In this paper, we give a finite presentation of the level $2$ principal congruence subgroup of $GL(n;\mathbb{Z})$.
Key concepts: Congruence (geometry), Congruence subgroup, Mathematics, Principal (computer security), Presentation (obstetrics), Characteristic subgroup, Combinatorics, Normal subgroup