ON THE STRUCTURE OF GROUPS WITH POLYNOMIAL GROWTH II

V. LOSERT

doi:10.1017/S0024610701001983

Abstract

The relation between compactly generated groups of polynomial growth and FC−-groups is clarified. It follows that L1(G) is symmetric for G compactly generated and of polynomial growth.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Gröchenig, Karlheinz and Leinert, Michael 2003. Wiener’s lemma for twisted convolution and Gabor frames. Journal of the American Mathematical Society, Vol. 17, Issue. 1, p. 1.

Raja, C. R. E. 2005. On growth, recurrence and the Choquet-Deny Theorem for p-adic Lie groups. Mathematische Zeitschrift, Vol. 251, Issue. 4, p. 827.

Krön, Bernhard and Möller, Rögnvaldur G. 2008. Analogues of Cayley graphs for topological groups. Mathematische Zeitschrift, Vol. 258, Issue. 3, p. 637.

Kuznetsova, Yulia and Molitor-Braun, Carine 2012. Harmonic analysis of weighted Lp-algebras. Expositiones Mathematicae, Vol. 30, Issue. 2, p. 124.

Kaniuth, E. Lau, A.T. and Ülger, A. 2016. The Rajchman algebra B0(G) of a locally compact group G. Bulletin des Sciences Mathématiques, Vol. 140, Issue. 3, p. 273.

Samei, Ebrahim and Shepelska, Varvara 2019. Norm-Controlled Inversion in Weighted Convolution Algebras. Journal of Fourier Analysis and Applications, Vol. 25, Issue. 6, p. 3018.

RAJA, C. R. E. and SHAH, RIDDHI 2019. Some properties of distal actions on locally compact groups. Ergodic Theory and Dynamical Systems, Vol. 39, Issue. 5, p. 1340.

Samei, Ebrahim and Wiersma, Matthew 2020. Quasi-Hermitian locally compact groups are amenable. Advances in Mathematics, Vol. 359, Issue. , p. 106897.

Losert, Viktor 2020. On the structure of groups with polynomial growth III. Journal of Algebra, Vol. 554, Issue. , p. 1.

Fang, Qiquan Shin, Chang Eon and Sun, Qiyu 2021. Polynomial Control on Weighted Stability Bounds and Inversion Norms of Localized Matrices on Simple Graphs. Journal of Fourier Analysis and Applications, Vol. 27, Issue. 5,

Losert, Viktor 2021. On the structure of groups with polynomial growth IV. Journal of Algebra, Vol. 581, Issue. , p. 92.

PALIT, RAJDIP and SHAH, RIDDHI 2021. DISTAL ACTIONS OF AUTOMORPHISMS OF NILPOTENT GROUPS G ON SUBG AND APPLICATIONS TO LATTICES IN LIE GROUPS. Glasgow Mathematical Journal, Vol. 63, Issue. 2, p. 343.

Austad, Are 2021. Spectral Invariance of $$*$$-Representations of Twisted Convolution Algebras with Applications in Gabor Analysis. Journal of Fourier Analysis and Applications, Vol. 27, Issue. 3,

Azam, Mahmud and Samei, Ebrahim 2022. Uniformly quasi-Hermitian groups are supramenable. Canadian Mathematical Bulletin, Vol. 65, Issue. 3, p. 665.

Motee, Nader and Sun, Qiyu 2022. Localized Stability Certificates for Spatially Distributed Systems over Sparse Proximity Graphs. SIAM Journal on Control and Optimization, Vol. 60, Issue. 2, p. 917.

Austad, A. and Ortega, Eduard 2022. Groupoids and Hermitian Banach *-algebras. International Journal of Mathematics, Vol. 33, Issue. 14,

Forghani, Behrang and Nguyen, May 2023. Strong Shannon–McMillan–Breiman’s theorem for locally compact groups. Canadian Mathematical Bulletin, Vol. 66, Issue. 4, p. 1274.

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ON THE STRUCTURE OF GROUPS WITH POLYNOMIAL GROWTH II

Abstract

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ON THE STRUCTURE OF GROUPS WITH POLYNOMIAL GROWTH II

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