A new proof of Gromov's theorem on groups of polynomial growth Export

@misc{citeulike:1825394, abstract = {We give a new proof of Gromov's theorem that any finitely generated group of polynomial growth has a finite index nilpotent subgroup. Unlike the original proof, it does not rely on the Montgomery-Zippin-Yamabe structure theory of locally compact groups.}, archivePrefix = {arXiv}, author = {Kleiner, Bruce}, citeulike-article-id = {1825394}, citeulike-linkout-0 = {http://arxiv.org/abs/0710.4593}, citeulike-linkout-1 = {http://arxiv.org/pdf/0710.4593}, day = {25}, eprint = {0710.4593}, keywords = {group\_theory, riemannian\_geometry}, month = {Oct}, posted-at = {2007-10-26 15:57:24}, priority = {2}, title = {A new proof of Gromov's theorem on groups of polynomial growth}, url = {http://arxiv.org/abs/0710.4593}, year = {2007} }

TY - ELEC ID - citeulike:1825394 L3 - citeulike-article-id:1825394 N2 - We give a new proof of Gromov's theorem that any finitely generated group of polynomial growth has a finite index nilpotent subgroup. Unlike the original proof, it does not rely on the Montgomery-Zippin-Yamabe structure theory of locally compact groups. TI - A new proof of Gromov's theorem on groups of polynomial growth KW - group_theory KW - riemannian_geometry AU - Kleiner, Bruce PY - 2007/Oct/25/ UR - http://arxiv.org/abs/0710.4593 ER -