[PDF] Top 20 Finite groups of the same type as Suzuki groups
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Finite groups of the same type as Suzuki groups
... the same order in G. Indeed, it turns out that if two groups G and H are of the same type, then nse(G) = nse(H) and |G| = ...non-solvable groups, in particular, finite simple ... See full document
8
Endotrivial modules for finite groups of Lie type A in nondefining characteristic
... a finite group and k be a field of characteristic p > ...any finite group G, tensoring with an endotrival kG-module induces a self-equivalence on the stable category of kG-modules modulo ...arbitrary ... See full document
26
First cohomology groups for finite groups of Lie type in defining characteristic
... [Gur86] Robert M. Guralnick, The dimension of the first cohomology group, Representation theory, II (Ottawa, Ont., 1984), Lecture Notes in Math., vol. 1178, Springer, Berlin, 1986, pp. 94–97. MR 842479 (87h:20095) ... See full document
13
Endotrivial modules for finite groups of Lie type
... all finite groups of Lie type, including those of twisted ...arbitrary finite group and M is an endotrivial kG-module, then both the Green correspondent and the source of M are endotrivial ... See full document
25
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
175
Finite groups are big as semigroups
... similarity type. Following the extensive study [3], we say that a finite structure B ∈ K is K -big if there exists a countably infinite structure A ∈ K such that B is a maximal proper substructure of ...a ... See full document
10
On a question of Külshammer for representations of finite groups in reductive groups
... M is a reductive subgroup of G and H is a finite subgroup of M. We guess that further examples can be obtained from other triples (G, M, H ) with similar properties, but we leave this for future work. The ... See full document
6
A new characterization of Ree group $\mathbf{{}^2G_2(q)}$ by the order of group and the number of elements with the same order
... of groups by nse pertains to Thompson’s problem ([15]) which Shi posed it in ...this type of characterization was studied by Shao and ...a finite simple group with | π(S) | = 4, then S is ... See full document
6
Finite BCI-groups are solvable
... cyclic groups, with valency 4 are ...Babai’s type theorem for bi-Cayley graphs of finite cyclic groups is proved and the present authors improved it to arbitrary groups in ... See full document
6
Some groups of finite homological type
... believe were first studied by C. T. C. Wall. (We shall define these conditions below.) It is easy to see that any group G of type F P is F HT , and one might conjecture that every torsion-free group that is F HT ... See full document
11
On excess in finite Coxeter groups
... This paper is arranged as follows. Our next section gathers together relevant background material while reviewing much of the standard notation used for Coxeter groups. Theorems 1.1 and 1.2 are established in ... See full document
16
Nonnilpotent subsets in the Suzuki groups
... implies that the number of conjugates of C, B, A and F in G are respectively, k = q 2 4(q+2r+1) (q − 1)(q 2 +1) , n = q 2 4(q (q − − 1)(q 2r+1) 2 +1) , s = q 2 (q 2 2 +1) and t = q 2 + 1. Since G is a finite ... See full document
9
A Characterization of the Small Suzuki Groups by the Number of the Same Element Order
... So one might ask whether the set of sizes of elements with the same order has an essential role in determining the structure of a finite group... On the other hand, we know that [r] ... See full document
7
Symmetric generation of finite groups
... CHAPTER TWO: SYMMETRIC REPRESENTATION OF L 2(ll) ELEMENTS Introduction ... 25[r] ... See full document
255
On the total character of finite groups
... Proof of Theorem D. As above, we use the list of nonabelian p-group of order p 5 given by R. James [8, Section 4.5]. From Lemma 2.1 and Proposition 2.5, it is clear that if G has a Johnson polynomial then Z (G) must be ... See full document
21
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
110
Algorithms for polycyclic by finite groups
... finite and solvable, and so, one may produce a consistent power-conjugate pre- sentation defining it using the method of Subsection 3. The existing methods for computing Sylow subgroups in finite solvable ... See full document
23
On metacyclic subgroups of finite groups
... The recovery of information about the structure of a finite group from information about its sub- groups has a long history. This survey article is intended to present some contributions in this context, ... See full document
5
A characterization of supersolubility of finite groups
... Theorem . Let F be a saturated formation containing all supersoluble groups. A group G ∈ F if and only if there exists a normal subgroup E of G such that G/E ∈ F and for every non-cyclic Sylow subgroup P of F * ... See full document
6
Algorithms for polycyclic by finite groups
... At points in the thesis, the reader may encounter the phrase “without performing any element arithmetic in E”, where E is a polycyclic-by-finite group. This simply means that, while there exists some (possibly ... See full document
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