Title of article
The polynomial automorphisms of some certain groups
Author/Authors
Askari, Bahman Islamic Azad University, Ghorveh Branch - Department of Mathematics, ايران , Fattahi, Fariba Islamic Azad University, Ghorveh Branch - Department of Mathematics, ايران
From page
1
To page
3
Abstract
Let A(G) denote the automorphism group of a group G. A polynomial automorphism of G is an automorphism of the form X→(v^1_-1 x^ ϵ1V_1)…(V^-1_m x^ ϵmV_m). We shall write P(G)=(P)(G)) such that P_0(G) is the set of polynomial automorphisms of G. In this paper, we will prove that P_0(D8) ∼= V_4 and P(Q) = A(Q), where Q is the additive group.
Keywords
Polynomial automorphism , Nilpotent group , Additive group , Abelian group
Journal title
Mathematical Sciences
Journal title
Mathematical Sciences
Record number
2569080
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