Abstract
Let W be an associative PI -affine algebra over a field F of characteristic zero. Suppose W is G-graded where G is a finite group. Let exp(W) and exp(We) denote the codimension growth of W and of the identity component We, respectively. We prove exp(W) ≤ |G|2 exp(W e). This inequality had been conjectured by Bahturin and Zaicev.
Original language | English |
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Pages (from-to) | 2311-2320 |
Number of pages | 10 |
Journal | Proceedings of the American Mathematical Society |
Volume | 138 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2010 |
Externally published | Yes |
Keywords
- Graded algebra
- Polynomial identity