Ahmad Antoni, 1117031001 (2015) HUBUNGAN ANTARA GRAF TIDAK KOMUTATIF DAN GRAF PRIMA PADA GRUP BERHINGGA TIDAK KOMUTATIF. Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Lampung.
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Abstrak (Berisi Bastraknya saja, Judul dan Nama Tidak Boleh di Masukan)
ABSTRACT ON THE RELATION BETWEEN THE NON-COMMUTING GRAPH AND PRIME GRAPH OF NON-ABELIAN FINITE GROUP By AHMAD ANTONI Given a non-abelian finite group G. Let Z(G) be the center of group G. Non-commuting graph of group G is graph with vertex set G\Z(G) where distinct non- central element x and y from group G are joined by an edge if only if xy ≠yx. Let π(G) denote the set of prime divisors of the order group G. Prime graph of group G is vertex set π(G) where distinct prime p and q are joined by edge if only if group G contains an element order pq. Let G and H be non- abelian finite group with isomorphic non-commuting graph and |Z(G)| = |Z(H)| then group G and H have the set of orders of maximal abelian subgroup M(G)=M(H) and the same prime graph GK(G)=GK(H). Keywords : Non - abelian finite group, Non-Commuting graph, Prime Graph, Center, maximal abelian subgroup. HUBUNGAN ANTARA GRAF TIDAK KOMUTATIF DAN GRAF PRIMA PADA GRUP BERHINGGA YANG TIDAK KOMUTATIF Oleh AHMAD ANTONI Diberikan grup berhingga yang tidak komutatif
| Jenis Karya Akhir: | Skripsi |
|---|---|
| Subyek: | > QA Mathematics |
| Program Studi: | FAKULTAS MIPA > Prodi Matematika |
| Pengguna Deposit: | 5179666 . Digilib |
| Date Deposited: | 24 Feb 2015 06:37 |
| Terakhir diubah: | 24 Feb 2015 06:37 |
| URI: | http://digilib.unila.ac.id/id/eprint/7303 |
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