We construct (2,3) -generators for the finite 8-dimensional orthogonal groups, proving the following results: the groups Ω+8(q) and PΩ+8(q) are (2,3) -generated if and only if q≥4 ; the groups Ω−8(q) and PΩ−8(q) are (2,3) -generated for all q≥
We prove that for p>7 there are p^4 +2p^3 +20p^2 +147p+(3p+29)gcd(p−1,3)+5gcd(p−1,4)+1246 ...
We study presentations, defined by Sidki, resulting in groups y(m,n) that are conjectured to be fini...
Abstract: A group G is said to be (2; 3; t)-generated if it can be generated by two elements x and y...
In this paper we prove that the unitary groups SUn(q2) are (2,3)-generated for any prime power q and...
In this paper we give explicit generators x,y for the unitary groups SU_6(q^2), proving that these g...
In this paper we give explicit (2, 3)-generators of the finite unitary groups SU(6,q^2 ), for all q...
In this paper, we prove that the finite simple groups PSp_6(q), Omega_7(q) and PSU_7(q^2) are (2, 3)...
In this paper, we determine the finite classical simple groups of dimension n = 3, 5 which are (2,3)...
We complete the classification of the finite special linear groups SL_n(q) which are (2, 3)-generate...
AbstractThis paper presents a new approach to (2,3,k)-generated groups. We first show that the trian...
We complete the classification of the finite special linear groups SL_n(q) which are (2, 3)-generate...
In this paper, we determine the finite classical simple groups of dimension n = 3, 5 which are (2,3)...
AbstractMinimal sets of generators of the orthogonal groups on nonsingular quadratic spaces over a f...
AbstractIn the first part [C. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, Odd-dimensional ortho...
A group G is said to be (23t)-generated if it can be generated by two elements x and y such that o(x...
We prove that for p>7 there are p^4 +2p^3 +20p^2 +147p+(3p+29)gcd(p−1,3)+5gcd(p−1,4)+1246 ...
We study presentations, defined by Sidki, resulting in groups y(m,n) that are conjectured to be fini...
Abstract: A group G is said to be (2; 3; t)-generated if it can be generated by two elements x and y...
In this paper we prove that the unitary groups SUn(q2) are (2,3)-generated for any prime power q and...
In this paper we give explicit generators x,y for the unitary groups SU_6(q^2), proving that these g...
In this paper we give explicit (2, 3)-generators of the finite unitary groups SU(6,q^2 ), for all q...
In this paper, we prove that the finite simple groups PSp_6(q), Omega_7(q) and PSU_7(q^2) are (2, 3)...
In this paper, we determine the finite classical simple groups of dimension n = 3, 5 which are (2,3)...
We complete the classification of the finite special linear groups SL_n(q) which are (2, 3)-generate...
AbstractThis paper presents a new approach to (2,3,k)-generated groups. We first show that the trian...
We complete the classification of the finite special linear groups SL_n(q) which are (2, 3)-generate...
In this paper, we determine the finite classical simple groups of dimension n = 3, 5 which are (2,3)...
AbstractMinimal sets of generators of the orthogonal groups on nonsingular quadratic spaces over a f...
AbstractIn the first part [C. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, Odd-dimensional ortho...
A group G is said to be (23t)-generated if it can be generated by two elements x and y such that o(x...
We prove that for p>7 there are p^4 +2p^3 +20p^2 +147p+(3p+29)gcd(p−1,3)+5gcd(p−1,4)+1246 ...
We study presentations, defined by Sidki, resulting in groups y(m,n) that are conjectured to be fini...
Abstract: A group G is said to be (2; 3; t)-generated if it can be generated by two elements x and y...
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