%0 Journal Article %1 suciu2019taylor %A Suciu, Alexander I. %A Wang, He %D 2020 %J European Journal of Mathematics %K alex myown %N 3 %P 1073-1096 %R 10.1007/s40879-019-00389-6 %T Taylor expansions of groups and filtered-formality %V 6 %X Let $G$ be a finitely generated group, and let $k G$ be its group algebra over a field of characteristic $0$. A Taylor expansion is a certain type of map from $G$ to the degree completion of the associated graded algebra of $G$ which generalizes the Magnus expansion of a free group. The group $G$ is said to be filtered-formal if its Malcev Lie algebra is isomorphic to the degree completion of its associated graded Lie algebra. We show that $G$ is filtered-formal if and only if it admits a Taylor expansion, and derive some consequences.

@article{suciu2019taylor, abstract = {Let $G$ be a finitely generated group, and let $k G$ be its group algebra over a field of characteristic $0$. A Taylor expansion is a certain type of map from $G$ to the degree completion of the associated graded algebra of $\k G$ which generalizes the Magnus expansion of a free group. The group $G$ is said to be filtered-formal if its Malcev Lie algebra is isomorphic to the degree completion of its associated graded Lie algebra. We show that $G$ is filtered-formal if and only if it admits a Taylor expansion, and derive some consequences.}, added-at = {2019-05-27T05:12:56.000+0200}, author = {Suciu, Alexander I. and Wang, He}, biburl = {https://www.bibsonomy.org/bibtex/249cda7ce45a5826d4fa54de70acb5eab/asuciu}, description = {Taylor expansions of groups and filtered-formality}, doi = {10.1007/s40879-019-00389-6}, interhash = {e488590a8ebbb41f7f3cf67849440588}, intrahash = {49cda7ce45a5826d4fa54de70acb5eab}, journal = {European Journal of Mathematics}, keywords = {alex myown}, month = sep, number = 3, pages = {1073-1096}, timestamp = {2020-10-16T03:04:42.000+0200}, title = {Taylor expansions of groups and filtered-formality}, volume = 6, year = 2020 }