[PDF] Top 20 Blocks with a cyclic defect group
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Blocks with a cyclic defect group
... a There exists up to isomorphism at most one non-projective indecomposable extension UOVj• Moreover such a non-projective indecomposable UOVj exists if and only if the "unique" monic fU~[r] ... See full document
94
Descent of Equivalences and Character Bijections
... Abstract. Categorical equivalences between block algebras of finite groups - such as Morita and derived equivalences - are well-known to induce character bijections which commute with the Galois groups of field ... See full document
30
Conjectures of Alperin and Broue for 2-blocks with elementary abelian defect groups of order 8
... for blocks with abelian defect groups, Alperin’s weight conjecture would be implied by any of the versions of Brou´e’s Abelian Defect Conjecture, predicting that there should be a perfect isometry, ... See full document
41
Rationality of blocks of quasi-simple finite groups
... finite group such that G C G ˆ and ˆ G/Z( ˆ G) is a symmetric group, and let ˆ b denote a block of O G ˆ covering ...have cyclic defect groups, by Lemma ... See full document
24
Rationality of blocks of quasi-simple finite groups
... Donovan’s conjecture is open in the general case, but there are certain situations where it is known to hold. This is discussed in more detail in Section 2.3. There exists a weaker version of Donovan’s conjecture, known ... See full document
134
Basic Orders for Defect Two Blocks of ℤpΣn
... In this section we recollect some facts about O-orders, mostly about graduated orders as defined in [12]. All statements made in this section can be found either in [12] or in [8]. We specialize everything to the ... See full document
16
On Automorphisms and Focal Subgroups of Blocks
... of the hyperfocal subalgebra of a block. We will give in addition a proof which does not require the hyperfocal subalgebra, based on some more general statements on automorphisms of source algebras in section 3. The ... See full document
15
The structure of blocks with a Klein four defect group
... underlying group G is of the form G = N P for some quasi-simple finite group N and then run through the classification of the finite simple groups to exclude this ...of blocks with a Klein four ... See full document
37
On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture
... abelian defect group conjecture outlined by Rouquier in [15] : the starting point is the gluing result of [15], which yields a stable equivalence of Morita type between the blocks A and ...on ... See full document
22
On blocks of defect two and one simple module, and Lie algebra structure of HH¹
... of Q. In [11, Remark 1.3], the question was raised whether this property characterises nilpotent blocks. Some evidence for this comes from a theorem of Okuyama and Tsushima in [16] which states that B has a ... See full document
22
Brauer's height zero conjecture for quasi-simple groups
... are the ones numbered 1 and 2 in [14, Tab. 4], for which the same argument applies. We can now show the Main Theorem for quasi-simple groups of Lie type. Let us write (BHZ2) for the assertion that blocks with all ... See full document
16
2-blocks with abelian defect groups
... w blocks covering b, and b has inertial index ...in blocks of G covering b is (16 − tw)w + ...w blocks covering b, each with 8 irreducible ... See full document
30
On isotypies between Galois conjugate blocks
... For a non-negative integer d and a finite dimensional commutative k- algebra A, we will say that A occurs as the center of a d-block if there exists a finite group H and a block c of kH with defect d such ... See full document
11
Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4
... for blocks with a cyclic or Klein four defect group, it is not known in general whether the Morita equivalence class of a block algebra over a field of prime characteristic determines that of ... See full document
19
Finite groups, modular representations and the Green correspondence
... The result of chapter 4 applies and ,Te have that projective indecomposables in blocks of defect 1 have submodule lattices.. In blocks of defect 0 of course projectives are irreducible..[r] ... See full document
82
Evaluations of guided bone regeneration in canine radius segmental defects using autologous periosteum combined with fascia lata under stable external fixation
... bone defect site prevents osteogenesis, resulting in incomplete healing or nonunion ...radii blocks: a fibrous connective and muscle tissues were seen in the defect gaps in group A; b spongy ... See full document
8
Automorphisms of a finite $p$-group with cyclic Frattini subgroup
... Aut Φ (G), where Φ denotes the Frattini subgroup of G. Clearly Aut Φ (G) is a normal subgroup of Aut(G) containing Inn(G), the group of inner automorphisms of G. M¨ uller in [10] proved, using techniques from ... See full document
8
ABSTRACT: Group key management is one of the basic building blocks in collaborative and group-oriented
... ABSTRACT: Group key management is one of the basic building blocks in collaborative and group-oriented applications in Mobile Ad Hoc Networks ...(MANETs). Group key establishment involves ... See full document
7
Difference bases in dihedral groups
... A subset B of a group G is called a difference basis for a subset A ⊂ G if each element a ∈ A can be written as a = xy − 1 for some x, y ∈ B. The smallest cardinality of a difference basis for A is called the ... See full document
8
Comparison of predicted cyclic creep damage from a multi-material weldment fea model and the traditional r5 volume 2/3 weldment approach
... To model the elastic-plastic material response, a bi-linear kinematic hardening fit has been derived using the cyclic stress-strain properties (saturated) from R66 [2] as shown in Figure 2. The linear fit ... See full document
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