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NSE characterization of the Chevalley group G2(4).
- Source :
-
Arabian Journal of Mathematics . Mar2018, Vol. 7 Issue 1, p21-26. 6p. - Publication Year :
- 2018
-
Abstract
- Let G be a group and ω(G) = {o(g)|g ∈ G} be the set of element orders of G. Let k ∈n ω(G) and sk = |{g ∈ G |o(g) = k}|. Let nse(G) = {sk|k ∈ ω(G)}. In this paper, we prove that if G is a group and G2(4) is the Chevalley group such that nse(G) = nse(G2(4)), then G ≅ G2(4). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 21935343
- Volume :
- 7
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Arabian Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 127064412
- Full Text :
- https://doi.org/10.1007/s40065-017-0182-4