2015Kodai Mathematical JournalOpen access

A finite presentation of the level 2 principal congruence subgroup of GL(n; Z)

Ryoma Kobayashi

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Abstract

It is known that the level 2 principal congruence subgroup of GL(n; Z) has a finite generating set (see [7]). In this paper, we give a finite presentation of the level 2 principal congruence subgroup of GL(n; Z).

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What this paper is about

It is known that the level 2 principal congruence subgroup of GL(n; Z) has a finite generating set (see [7]). In this paper, we give a finite presentation of the level 2 principal congruence subgroup of GL(n; Z).

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Available abstract

It is known that the level 2 principal congruence subgroup of GL(n; Z) has a finite generating set (see [7]). In this paper, we give a finite presentation of the level 2 principal congruence subgroup of GL(n; Z).

Key concepts: Congruence (geometry), Congruence subgroup, Mathematics, Principal (computer security), Characteristic subgroup, Presentation (obstetrics), Generating set of a group, Normal subgroup

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