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Defect group

On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture

On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture

... Abstract. Using a stable equivalence due to Rouquier, we prove that Brou´e’s abelian defect group conjecture holds for 3-blocks of defect 2 whose Brauer correspondent has a unique isomorphism class ...

22

The structure of blocks with a Klein four defect group

The structure of blocks with a Klein four defect group

... isomorphic defect groups and whose simple modules have the same ...a defect group P of kGb and a source idempotent i ∈ (kGb) P , the image if is a source idempotent for kLf and we have an isomorphism ...

37

A note on the depth of a source algebra over its defect group

A note on the depth of a source algebra over its defect group

... finite group with a defect group P with inertial quotient E is a depth two extension of the group algebra of P , then A is isomorphic to a twisted group algebra of the group P o ...

6

Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4

Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4

... 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 the corresponding block algebra over a p-adic ...

19

Symmetric groups, wreath products, Morita equivalences, and Broue's abelian defect group conjecture

Symmetric groups, wreath products, Morita equivalences, and Broue's abelian defect group conjecture

... We construct Morita equivalences only for blocks in the aforementioned family, but taken together with unpublished work of Jeremy Rickard they imply that Brou´ e’s conjecture holds for all p-blocks of symmetric groups ...

14

Blocks with a cyclic defect group

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] ...

94

On blocks of strongly p-solvable groups

On blocks of strongly p-solvable groups

... Glauberman (cf. [8, Ch. 8, Theorem 2.11]). The purpose of this paper is to show that this theorem, which is used in the proof of the p-nilpotency theorem of Glauberman and Thompson, has a generalisation to blocks of ...

8

On Automorphisms and Focal Subgroups of Blocks

On Automorphisms and Focal Subgroups of Blocks

... finite group with defect group P and fusion system F on P we show that the rank of the group P/foc(F) is invariant under stable equivalences of Morita ...

15

On k(D) Blocks

On k(D) Blocks

... Our main concern is to study finite groups and their blocks which satisfy Definitions 1.1 and 1.2. Note that it is well known that k D ( ) is the number of the conjugacy classes of D . It is well known that blocks with ...

5

Development of a two stage inspection process for the assessment of deteriorating infrastructure

Development of a two stage inspection process for the assessment of deteriorating infrastructure

... the defect growth into 10 ...of defect sizes for each group is modelled statistically with an assumed mean and standard deviation, as outlined in Table ...The defect size is assumed to vary ...

52

Brauer's height zero conjecture for quasi-simple groups

Brauer's height zero conjecture for quasi-simple groups

... The height zero conjecture for alternating groups A n , n ≥ 7, and their covering groups was verified in [23], for example, except for the 2-blocks of the double covering 2. A n . Since the height zero conjecture has ...

16

Rationality of blocks of quasi-simple finite groups

Rationality of blocks of quasi-simple finite groups

... non-cyclic defect. Let B be a block from row 3 or 4 and let P denote the defect group of ...non-cyclic defect is Galois conjugate to at most one other block ...

134

The indecomposability of a certain bimodule given by the Brauer construction

The indecomposability of a certain bimodule given by the Brauer construction

... abelian defect conjecture [3, 6.2] predicts for a p-block of a finite group G with an abelian defect group P a derived equivalence between the block algebra and its Brauer corre- ...abelian ...

6

2-blocks with abelian defect groups

2-blocks with abelian defect groups

... m ≥ 2 has one of two Morita equivalence types and hence is Morita equivalent to the Brauer correspondent block of the normaliser of a defect group. This completes the analysis of the Morita equivalence ...

30

Influence of bone morphogenetic protein on articular cartilage regeneration following periosteal grafting

Influence of bone morphogenetic protein on articular cartilage regeneration following periosteal grafting

... experimental group, clear nuclear mem- branes, well-distributed chromoplasm, round cells with active proliferation, abundant rough endoplasmic reticu- lum (RER) with a distention of layers, small round mi- ...

6

Layer-by-layer paper-stacking nanofibrous membranes to deliver adipose-derived stem cells for bone regeneration

Layer-by-layer paper-stacking nanofibrous membranes to deliver adipose-derived stem cells for bone regeneration

... in Group I, ADSCs were cultured in a regular medium (cells group); in Group II, ADSC-laden paper-stacking scaffolds were cultured in a regular medium (cells-paper-stacking membranes group); in ...

18

Endoscopic paranasal sinus surgery: radiographic evaluation of severe complications

Endoscopic paranasal sinus surgery: radiographic evaluation of severe complications

... ethmoid, Rt defect plate, contrast in Rt repair ethmoid Craniotomy, Rt defect Bony defect, Rt crib plate, contrast in Rt repair ethmoid Craniotomy, Lt defect reBony defect, Lt crib plate[r] ...

7

miR-34a promotes bone regeneration in irradiated bone defects by enhancing osteoblastic differentiation of mesenchymal stromal cells in rats

miR-34a promotes bone regeneration in irradiated bone defects by enhancing osteoblastic differentiation of mesenchymal stromal cells in rats

... An increasing number of researches have focused on the osteogenesis and miRNA function, both under the biological and pathological conditions. miR-33-5p is a key factor in the development of osteopenia induced by ...

14

Original Article Effect of umbilical cord mesenchymal stem cell in peri-implant bone defect after immediate implant: an experiment study in beagle dogs

Original Article Effect of umbilical cord mesenchymal stem cell in peri-implant bone defect after immediate implant: an experiment study in beagle dogs

... bone defect peri-implant interfered with the contact osteogenesis in the bone healing period of 2 ...the defect area peri-implant at the early stage of bone ...

8

Maternal Vitamin B12 Status and Risk of Neural Tube Defects in a Population With High Neural Tube Defect Prevalence and No Folic Acid Fortification

Maternal Vitamin B12 Status and Risk of Neural Tube Defects in a Population With High Neural Tube Defect Prevalence and No Folic Acid Fortification

... relevant groups (deficient, borderline deficient, etc) and calculated relative risks for each group, based on the known NTD prevalence rates at the time of sampling. Point estimates with SEs are shown on Table 5. ...

9

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