Algebraic & Geometric Topology Volume 13, issue 6 (2013)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Growth of periodic quotients of hyperbolic groups

Rémi Coulon

Algebraic & Geometric Topology 13 (2013) 3111–3133

DOI: 10.2140/agt.2013.13.3111

Bibliography

1	S I Adian, The Burnside problem and identities in groups, Ergeb. Math. Grenzgeb. 95, Springer (1979) MR537580
2	G N Arzhantseva, I G Lysenok, Growth tightness for word hyperbolic groups, Math. Z. 241 (2002) 597 MR1938706
3	V S Atabekyan, Uniform nonamenability of subgroups of free Burnside groups of odd period, Mat. Zametki 85 (2009) 516 MR2549414
4	W Burnside, On an unsettled question in the theory of discontinuous groups, Quart. J. Pure Appl. Math. 33 (1902) 230
5	J W Cannon, The combinatorial structure of cocompact discrete hyperbolic groups, Geom. Dedicata 16 (1984) 123 MR758901
6	M Coornaert, Mesures de Patterson–Sullivan sur le bord d'un espace hyperbolique au sens de Gromov, Pacific J. Math. 159 (1993) 241 MR1214072
7	M Coornaert, T Delzant, A Papadopoulos, Géométrie et théorie des groupes, Lecture Notes in Mathematics 1441, Springer (1990) MR1075994
8	R Coulon, Detecting trivial elements of Burnside groups arXiv:1211.4267
9	T Delzant, Sous-groupes distingués et quotients des groupes hyperboliques, Duke Math. J. 83 (1996) 661 MR1390660
10	T Delzant, M Gromov, Courbure mésoscopique et théorie de la toute petite simplification, J. Topol. 1 (2008) 804 MR2461856
11	É Ghys, P de la Harpe, Editors, Sur les groupes hyperboliques d'après Mikhael Gromov, Progress in Mathematics 83, Birkhäuser (1990) MR1086648
12	M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
13	M Hall Jr., Solution of the Burnside problem of exponent 6, Proc. Nat. Acad. Sci. U.S.A. 43 (1957) 751 MR0089847
14	S V Ivanov, The free Burnside groups of sufficiently large exponents, Internat. J. Algebra Comput. 4 (1994) MR1283947
15	M Koubi, Croissance uniforme dans les groupes hyperboliques, Ann. Inst. Fourier (Grenoble) 48 (1998) 1441 MR1662255
16	F Levi, B L van der Waerden, Über eine besondere Klasse von Gruppen, Abh. Math. Sem. Univ. Hamburg 9 (1933) 154 MR3069591
17	I G Lysënok, Infinite Burnside groups of even period, Izv. Ross. Akad. Nauk Ser. Mat. 60 (1996) 3 MR1405529
18	S P Novikov, Adams operators and fixed points, Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968) 1245 MR0256390
19	A Y Ol’shanskiĭ, The Novikov–Adyan theorem, Mat. Sb. 118(160) (1982) 203, 287 MR658789
20	A Y Ol’shanskiĭ, Periodic quotient groups of hyperbolic groups, Mat. Sb. 182 (1991) 543 MR1119008
21	D V Osin, Uniform non-amenability of free Burnside groups, Arch. Math. $($Basel$)$ 88 (2007) 403 MR2316885
22	I N Sanov, Solution of Burnside's problem for exponent 4, Leningrad State Univ. Annals [Uchenye Zapiski] Math. Ser. 10 (1940) 166 MR0003397