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the (p, q, r)-generations of the symplectic group sp(6, 2)
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نویسنده
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motalane malebogo j. ,basheer ayoub b. m. ,seretlo thekiso t.
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منبع
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journal of algebraic structures and their applications - 2021 - دوره : 8 - شماره : 2 - صفحه:31 -49
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چکیده
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A finite group g is called (l, m, n)-generated, if it is a quotient group of the triangle group t(l, m, n) = ⟨ x, y, z|xl = ym = zn = xyz = 1 ⟩ . in [29], moori posed the question of finding all the (p, q, r) triples, where p, q and r are prime numbers, such that a non-abelian finite simple group g is a (p, q, r)-generated. in this paper we establish all the (p, q, r)-generations of the symplectic group sp(6, 2). gap [20] and the atlas of finite group representations [33] are used in our computations.
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کلیدواژه
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conjugacy classes ,generation ,simple groups ,structure constants ,symplectic groups
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آدرس
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university of limpopo (turfloop), school of mathematical and computer sciences, south africa, university of limpopo (turfloop), school of mathematical and computer sciences, south africa, university of limpopo (turfloop), school of mathematical and computer sciences, south africa
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پست الکترونیکی
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thekiso.seretlo@ul.ac.za
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Authors
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