We produce a rigid triple of classes in the algebraic group G 2 in characteristic 5, and use it to show that the finite groups G 2(5 n ) are not (2, 5, 5)-generate
[EN] Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK (-1) ...
summary:Let $G = G(\cdot)$ be a commutative groupoid such that $\{(a,b,c) \in G^3$; $a\cdot bc \ne a...
For a simple algebraic group G in characteristic p, a triple (a, b, c) of positive integers is said ...
We establish the existence of two rigid triples of conjugacy classes in the algebraic group G2 in ch...
We establish the existence of two rigid triples of conjugacy classes in the algebraic group G2 in ch...
Conder M, Litterick A. FURTHER RIGID TRIPLES OF CLASSES IN G(2). INTERNATIONAL JOURNAL OF GROUP THEO...
The following characterization is obtained: THEOREM. Let G be a finite group generated by a conj...
AbstractLet G be a group and ω(G) be the set of element orders of G. Let k∈ω(G) and sk be the number...
Let G be a connected reductive group over an algebraically closed field k of characteristic p ≥ 0. L...
[EN] The aim of this paper is to show how the number of conjugacy classes appearing in the product o...
[EN] We prove that if a finite group G contains a conjugacy class K whose square is of the form 1¿D,...
Dedicated to Tonny Springer on the occasion of his 85th birthdayLet G be an almost simple reductive ...
AbstractLet G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum ...
In this paper, we show that for the alternating group An, the class C of n- cycle, CC covers An for ...
AbstractWe prove the Arad–Herzog conjecture for various families of finite simple groups — if A and ...
[EN] Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK (-1) ...
summary:Let $G = G(\cdot)$ be a commutative groupoid such that $\{(a,b,c) \in G^3$; $a\cdot bc \ne a...
For a simple algebraic group G in characteristic p, a triple (a, b, c) of positive integers is said ...
We establish the existence of two rigid triples of conjugacy classes in the algebraic group G2 in ch...
We establish the existence of two rigid triples of conjugacy classes in the algebraic group G2 in ch...
Conder M, Litterick A. FURTHER RIGID TRIPLES OF CLASSES IN G(2). INTERNATIONAL JOURNAL OF GROUP THEO...
The following characterization is obtained: THEOREM. Let G be a finite group generated by a conj...
AbstractLet G be a group and ω(G) be the set of element orders of G. Let k∈ω(G) and sk be the number...
Let G be a connected reductive group over an algebraically closed field k of characteristic p ≥ 0. L...
[EN] The aim of this paper is to show how the number of conjugacy classes appearing in the product o...
[EN] We prove that if a finite group G contains a conjugacy class K whose square is of the form 1¿D,...
Dedicated to Tonny Springer on the occasion of his 85th birthdayLet G be an almost simple reductive ...
AbstractLet G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum ...
In this paper, we show that for the alternating group An, the class C of n- cycle, CC covers An for ...
AbstractWe prove the Arad–Herzog conjecture for various families of finite simple groups — if A and ...
[EN] Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK (-1) ...
summary:Let $G = G(\cdot)$ be a commutative groupoid such that $\{(a,b,c) \in G^3$; $a\cdot bc \ne a...
For a simple algebraic group G in characteristic p, a triple (a, b, c) of positive integers is said ...