Almost recognizability by spectrum of finite simple linear groups of prime dimension

作者：Grechkoseeva M A^*; Lytkin D V

来源：Siberian Mathematical Journal, 2012, 53(4): 645-655.

DOI：10.1134/S0037446612040076

• simple linear group
• prime graph
• quasirecognizability by spectrum

The spectrum of a group is the set of its element orders. Let L = PSL (n) (q), where n is a prime greater than 3. We show that every finite group whose spectrum is the same as the spectrum of L is isomorphic to an extension of L by a subgroup of the outer automorphism group of L.

• 出版日期2012-7