[PDF] Top 20 Lorenzo Vilches - La Lectura de La Imagen
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The number of maximal subgroups and probabilistic generation of finite groups
... All groups in this survey will be finite. Let G be a d-generated group. The motivating question of this paper is: How many elements one should expect to choose uniformly and randomly to generate G? Let us ... See full document
67
Finite groups with all maximal subgroups of prime or prime square index
... -It now follows that whenever G/G is a subdirect product of primitive solvable groups on a prime or prime square number of letters or if G/G} is any homomorphic image of such a group the[r] ... See full document
26
Computing with simple groups: maximal subgroups and presentations
... of finite index in favourable circumstances, given defining relations for a group G containing ...large number of generators and relators so a number heuristics are applied so as to reduce the ... See full document
23
Model subgroups of finite soluble groups
... the number o f maximal subgroups o f the centre o f G whose quotients are extra-special is ...every maximal subgroup N of the centre o f P, then the rank o f the centre o f P is less than or ... See full document
102
Finite groups with cyclic Sylow subgroups for all odd primes
... number fie}.d, such that f(u) = f(v"^uv) for all u,v e H , which vanish on H \ C . It is clear that AJJ(C) has a basis consisting of exactly 2p - 3(p-3)/4 class functions because this is the number of ... See full document
20
On finite groups having a certain number of cyclic subgroups
... We summarize our notations. cl(a) denotes the conjugacy class of a in G, π(G) denotes the set of prime numbers dividing the order of G, ϕ(n) denotes the Euler function that counts the positive integers less than n that ... See full document
150
Connected components of the category of elementary abelian $p$ subgroups
... the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank 2 in a finite p-group G, for an odd prime ...of maximal nilpotency ... See full document
45
Minimal conditions on Clifford semigroup congruences
... In this theorem, min − n is the minimal condition on normal subgroups. In other words a group G is said to satisfy min − n if any nonempty family of normal subgroups has a minimal member, or equivalently ... See full document
29
Finite groups whose minimal subgroups are weakly $\mathcal{H}^{\ast}$-subgroups
... a finite group G under the assumption that the minimal subgroups of G and the cyclic subgroups of order 4 satisfying one of the previously mentioned concepts (recall that a minimal subgroup of G is a ... See full document
23
A Monograph on the classification of the discrete subgroups of SU(4)
... discrete subgroups Γ of SL(4, C) in a concise fashion, hoping it to be of use to impending work, particularly non- supersymmetric conformal gauge theories from branes on orbifolds, resolution of Gorenstein ... See full document
7
Overconvergent algebraic automorphic forms
... reductive groups. Given a reductive group G defined over a number field F, with G(F v ) compact modulo centre for all infinite places v; a finite prime p of F ; ... See full document
119
Finite non-nilpotent groups with few non-normal non-cyclic subgroups
... Thus, there exists a maximal subgroup, say K, of P, which is normal in G. Hence, [N, K ] = 1 and so K = L = Z (G). Let a ∈ P \ L. Since P is non-cyclic, there exists an element b ∈ P \⟨ a ⟩ of order p. It follows ... See full document
17
Maximal tori in finite groups of lie type
... between the conjugacy classes of maximal tori in the finite group and certain equivalence classes in the corresponding Weyl group... result, and its consequences, is discussed in Chapter[r] ... See full document
100
The Multiplicative Degree of Some Finite Groups
... In 2016, a new definition that is motivated from the relative commutativity degree, called the multiplicative degree of a group G was defined by (Abd Rhani et al., 2016) and it is defined as the probability that the ... See full document
181
On the Number of Distinct Fuzzy Subgroups for Some Elementary Abelian Groups and Quaternion Groups
... of subgroups of the group say G that ends in G and applying our result in the corresponding formula derived in ...fuzzy subgroups of a group and overview of the equivalence relation as defined in ...the ... See full document
17
Symmetric generation of finite groups
... CHAPTER TWO: SYMMETRIC REPRESENTATION OF L 2(ll) ELEMENTS Introduction ... 25[r] ... See full document
22
Generation problems for finite groups
... of groups that do and do not have property B we sought to high- light how rare groups with property B ...dihedral groups, showing that all dihedral groups of order 2p n have prop- erty B, for ... See full document
22
Partially $S$-embedded minimal subgroups of finite groups
... Theorem 3.3. Let F be a saturated formation containing the class of all supersolvable groups U . Then G ∈ F if and only if there is a normal subgroup E of G such that G/E ∈ F and every cyclic subgroup of any ... See full document
37
On supersolvability of finite groups with $\Bbb P$-subnormal subgroups
... Suppose that |π(G)| = 3. We conclude by Lemma 2.12 that D is a noncyclic biprimary z-subgroup. By hypothesis, D is P-subnormal in G. If |π(G)| = 2, then D is a p-subgroup and by hypothesis, D is P -subnormal in G. Thus ... See full document
107
Normalizers and covering subgroups of finite soluble groups
... fall away if we assume that our normal systems are integrated The·first part of chapter five is concerned with the existence and main properties of the JE-covering subgroups of the finit[r] ... See full document
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