General introduction to the special odd case General lemmas Theorem $C^*_2$: Stage 1 Theorem $C^*_2$: Stage 2 Theorem $C_2$: Stage 3 Theorem $C_2$: Stage 4 Theorem $C_2$: Stage 5 Theorem $C_3$: Stage 1 Theorem $C_3$: Stages 2 and 3 IV$_K$: Preliminary properties of $K$-groups Background references Expository references Glossary Index.

http://inis.jinr.ru/sl/M_Mathematics/MA_Algebra/MAtg_Group%20theory/Gorenstein%20D.,%20Lyons%20R.,%20Solomon%20R.%20Classification%20of%20finite%20simple%20groups%201%20(AMS%20survey%2040%20no.1,%201994,%202000)(176s).pdf

The Classification of the Finite Simple Groups

/pdf/handbook-of-magma-functions-5anhrdxxj3.pdf

Handbook of magma functions

We investigated the aggregation of PMN from 20 psoriasis patients (PP) and 12 health persons (HP) to PAF and the effect of PAF antagonist BN 52021 on the aggregation. PAF induced a dose dependent aggregative response of polymorphonuclear neutrophils (PMN) from PP and HP. The aggregative responses of PMN from PP to lower concentrations of PAF were increased (P < 0.05) and to higher concentrations of PAF were not different to that of PMN from HP. BN 52021 could time- and dose-dependently inhibit the aggregation of PMN from PP and HP to PAF, and their IC50 was 1.3 x 10(-6) mol and 1.2 x 10(-6) mol respectively. It is suggested that PAF and PMN play an important pathophysiological role in the development of psoriasis, and application of PAF antagonists may be a new and effective approach to the management of psoriasis.

Effect of BN52021 on platelet activating factor induced aggregation of psoriatic polymorphonuclear neutrophils

We prove that for every finite rank Coxeter group there exists a polynomial (cubic) solution to the conjugacy problem.

/pdf/the-conjugacy-problem-for-coxeter-groups-42xug0t09s.pdf

The conjugacy problem for Coxeter groups

https://pages.uoregon.edu/kantor/PAPERS/BGKprobability.pdf

Probabilistic generation of finite simple groups, II

If G is a finite simple group of Lie type over a field containing more than 8 elements (for twisted groups 'Xn (ql) we require q > 8, except for 2B2(q2), 2G2(q2), and 2 F4 (q2), where we assume q2 > 8), then G is the square of some conjugacy class and consequently every element in G is a commutator.

/pdf/on-the-conjectures-of-j-thompson-and-o-ore-2ud73n0v3e.pdf

On the conjectures of J. Thompson and O. Ore

LetG be a quasisimple Chevalley group. We give an upper bound for the covering number cn(G) which is linear in the rank ofG, i.e. we give a constantd such that for every noncentral conjugacy classC ofG we haveC
 rd
 =G, wherer=rankG.

Covering numbers for Chevalley groups

Length theorems are of great importance for the characterization of classical groups. The axiom of the three reflections plays a central role in the systems of axioms of F. BACHMANN [2], H. KARZEL [12], R. LINGENBERG [14], and E. SpERNER [17]. These authors characterize motion groups of planes. For characterizations in higher dimensions the length theorems appear to be the right tool to replace the axiom of the three reflections.

Erich W. Ellers

Papers

On the conjectures of J. Thompson and O. Ore

Covering numbers for Chevalley groups

Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries

Endliche Inzidenzgruppen

Kennzeichnung elliptischer Gruppenräume