2014arXiv (Cornell University)Open access

A finite presentation of the level $2$ principal congruence subgroup of $GL(n;\mathbb{Z})$

Ryoma Kobayashi

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Abstract

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 $GL(n;\mathbb{Z})$.

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Available abstract

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

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