; TeX output 2000.05.25:0216 7 Y 8U0"V 3 cmbx10CORRIGENDtA:t\ONEXTENSIONSOFSIMPLEMODULES R/nOtVERtSYMMETRICANDALGEBRAICGROUPS" To cmr9A.S.!KLESHCHEVANDJ.SHETH&TBK`y 3 cmr10WeefcorrectsomeerrorsandaninconsistencyappMearingin[1y].cB1.߹WeemaregratefultoKaiMengTanforpMoin!tingoutthatremark(ii)on 6page|H706doMesnotmak!esense,asthepartition2b> 3 cmmi10 =(132 cmmi8p])|Hisnotp-regular.In6fact,ftheremarkshouldbMeappliedtoTheorem2.9,not2.10.B2.AWee2aregratefultoKarinErdmannandAnneHenk!eforpMointingout6that+>calculationsofcohomologyinTheorem3.5andCorollary3.6con!tain6errors.Belo!wKisacorrectedversionoftheseresults.WeenotethatErdmann6and~Henk!ehaverecentlyobtainedthesameresultsforsymmetricandgeneral6linearfgroupsusingdieren!tmethoMds[2y].Ǎ6Theoremy3.5ѹ(i); ': 3 cmti10AssumeG䬹=GLznP(FV),1=(2uk;11vI{5K cmsy8 uuc),=(2rb;11s r),6ह0SP4!", 3 cmsy10uvn, 0r.sn,urM,andletv u+1SP=C0 u cmex10P ዟ8i1|{Y cmr80azidpiwbpethe56p-adicp!exppansion.ThenExt'y1yG (L();1L())l=|>Ext'!1!G).(L();L())=0,ounless \6s`S vo:= u rX=(p azidڹ)piJfornpsomeisuchthatazio>0andeitherazi+1K