Maximal subgroups
Maximal subgroups of classical groups in dimensions 16 and 17
... the maximal subgroups must satisfy, but do not (in their original statement) describe precisely what the maximal subgroups ...geometric-type subgroups, since each class has some ...
263
The maximal subgroups of the classical groups in dimension 13, 14 and 15
... Since we are interested in finding the maximal subgroups of almost simple classical groups, we now consider ¯Ω and its outer automorphisms. To this purpose suppose that Gρ is an S -subgroup of Ω, where ρ is ...
201
The maximal subgroups of the unitary group PSU(6, q), where q=2^k
... the maximal subgroups of GL(n, q) by Aschbacher’s theorem {see [1]}, is a very strong tool in the finite groups for finding the maximal subgroups of finite linear ...
21
The number of maximal subgroups and probabilistic generation of finite groups
... Abstract. In this survey we present some significant bounds for the number of maximal subgroups of a given index of a finite group. As a consequence, new bounds for the number of random generators needed to ...
12
On \(p\)-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups
... A b s t r a c t . Let G be a finite group and P be a p-subgroup of G. If P is a Sylow subgroup of some normal subgroup of G, then we say that P is normally embedded in G. Groups with nor- mally embedded maximal ...
8
On maximal subgroups of free idempotent generated semigroups
... a maximal sub- group of some free idempotent generated ...a maximal subgroup of some free idempotent gen- erated semigroup arising from a finite ...a maximal subgroup of some free regular idempotent ...
27
Computing with simple groups: maximal subgroups and presentations
... cyclic subgroups can be found either by looking directly at the presentation of G or by enumerating cosets of random cyclic subgroups <w> of G, where w is a word in the group generators, in the hope ...
208
Triple factorization of non-abelian groups by two maximal subgroups
... proper subgroups A and B of G, the definition of rank-two geometry and rank-two coset geometry which is closely related to the triple factorization was de- fined and calculated for abelian ...
9
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] ...
46
Maximal subgroups of free idempotent generated semigroups over the full transformation monoid
... Appendix: Omitted label computations This Appendix contains, for the sake of completeness and reference, computations of labels that have been omitted from the main body of the paper.. T[r] ...
7
An introduction to the tools hosted in the Bilbao Crystallographic Server
... on maximal subgroups of space groups as listed in Part 1 of International Tables for Crystallography, Volume A1: Symmetry relations between space groups (hereafter referred to as ITA1) ...
22
Free idempotent generated semigroups and endomorphism monoids of independence algebras
... study maximal subgroups of IG(E ...all maximal subgroups of IG(E) were ...all maximal subgroups are ...a maximal subgroup of some IG(E ...a maximal subgroup of some ...
22
Endomorphisms of Fraïssé limits and automorphism groups of algebraically closed relational structures
... In this chapter we consider the well known total order Q . We will find that it is a great deal more complicated to determine the maximal subgroups of End( Q ). We will first show that we can characterise ...
170
On (2, 3, t) Generations for the Rudvalis Group Ru
... the maximal subgroups of Ru having non- empty intersection with the classes 2A, 3A and 10A are isomorphic to H 1 , H 5 , H 6 , H 7 , H 10 and H 15 ...
6
The Mobius function of the small Ree groups
... elements of G on Ω is well known [25], in addition we describe the action of the maximal subgroups of G on Ω. The author makes no claim that this interpretation is not known elsewhere but is not aware of it ...
19
New upper bounds on the spreads of the sporadic simple groups
... primitive permutation character and is therefore positive on every class. The class 2A is therefore a support class in these cases by Lemma 3. Note that whilst the Thompson group, Th, also has only one class of ...
8
Some results on π solvable and supersolvable groups
... 2 There exists one and only one minimal normal subgroup of G and there exists a crmon prime divisor of all the indices in G of all the maximal subgroups with core.. The four characterist[r] ...
6
On regularity and the word problem for free idempotent generated semigroups
... a maximal subgroup of RIG(E ) from a finite semigroup of idempotents (a ...the maximal subgroups have soluble word problems (this follows directly from [35, Theorem ...
33
The Boolean algebra of Galois algebras
... In [4], it was shown that there exists a one-to-one correspondence between the set of nonzero monomials in Ba and the set of maximal nonzero subgroups of G, and that, for a nonzero monom[r] ...
7
Irreducible A1 subgroups of exceptional algebraic groups
... A natural question to ask is whether G-irreducible subgroups of a certain type exist, especially in small characteristics. As an immediate consequence of Theorems 2 to 6, we reprove the following corollary, first ...
52