%PDF-1.4 % 5 0 obj << /S /GoTo /D (section.1) >> endobj 8 0 obj (Introduction) endobj 9 0 obj << /S /GoTo /D (section.2) >> endobj 12 0 obj (Preliminaries) endobj 13 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 16 0 obj (Group actions) endobj 17 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 20 0 obj (Strings, G-isomorphism) endobj 21 0 obj << /S /GoTo /D (subsection.2.3) >> endobj 24 0 obj (Prior work) endobj 25 0 obj << /S /GoTo /D (subsection.2.4) >> endobj 28 0 obj (Chernoff bounds) endobj 29 0 obj << /S /GoTo /D (section.3) >> endobj 32 0 obj (Primitive groups, 1-sided-error: tight bounds) endobj 33 0 obj << /S /GoTo /D (subsection.3.1) >> endobj 36 0 obj (Structure of primitive groups) endobj 37 0 obj << /S /GoTo /D (subsection.3.2) >> endobj 40 0 obj (G-Agreeability) endobj 41 0 obj << /S /GoTo /D (subsection.3.3) >> endobj 44 0 obj (Proof of the lower bounds for primitive groups) endobj 45 0 obj << /S /GoTo /D (subsection.3.4) >> endobj 48 0 obj (Proof of the G-agreeability lemma for primitive groups) endobj 49 0 obj << /S /GoTo /D (section.4) >> endobj 52 0 obj (Upper bounds for transitive groups) endobj 53 0 obj << /S /GoTo /D (section.5) >> endobj 56 0 obj (Lower bounds for Transitive Groups) endobj 57 0 obj << /S /GoTo /D (section.6) >> endobj 60 0 obj (Tight bounds and comparisons) endobj 61 0 obj << /S /GoTo /D (section.7) >> endobj 64 0 obj (Open questions) endobj 65 0 obj << /S /GoTo /D [66 0 R /Fit ] >> endobj 81 0 obj << /Length 3606 /Filter /FlateDecode >> stream xڥْ6}B#Tmro%lel?PFb"e(_} <$vm^D4p_ߗw+Rzx\*C"(>Vod|&\?ڶ]QP?Ǿfdr} 73ͱﲮ+wM1iZ"LVJ&'4JVaF}/#M0"?4$$i2]T3m/mVT;n&!&0F: R0TS¬m<iLH0{\b 8{e/y; _83A3J CJdDgHE{vvMwT7" R25M >M {4:HЈR2COp@g uwhm;\DI?٣~cP|/BK]8Vm4FD|M_oL$'4Lh АF^8rd.4~t少X e`,@Bإ7L/.>ND aᢄAI/xhcݜ@(qh t)Hd@lCa/mipoJJ^;; q逑Ȧ%ٞ턌Emڑ ]bhQ<tts `fL?2S]Aδe]@ZLz$,IZMWE TA$%{$h68FY8f Pjěٸ s(APX%BR8,N3ǓB8[qÒ 2zKPCءd t`kE*?܋|'fd"+gmi/g`Fۓn۞jGFjuYVTˬEDgsRZKÄɸ `gb_11}D>e^eB`1p1". axڧqP\OD8/Ii ߝy}