44- https://doi.org/10.1142/s1005386708000424
Recognizing Finite Groups Through Order and Degree Pattern
- Sep 1, 2008
- Algebra Colloquium
- A R Moghaddamfar +1 more
Abstract
The degree pattern of a finite group G is introduced in [10] and it is proved that the following simple groups are uniquely determined by their degree patterns and orders: all sporadic simple groups, alternating groups Ap (p ≥ 5 is a twin prime) and some simple groups of Lie type. In this paper, we continue this investigation. In particular, we show that the automorphism groups of sporadic simple groups (except Aut (J2) and Aut (McL)), all simple C22-groups, the alternating groups Ap, Ap+1, Ap+2 and the symmetric groups Sp, Sp+1, where p is a prime, are also uniquely determined by their degree patterns and orders.
- # Simple Groups Of Lie Type
- # Simple Groups
- # Sporadic Groups
- # Finite Group
- # Groups Of Lie Type
- # Groups Ap
- # Groups Sp
- # Lie Type
- # Symmetric Groups
- # Automorphism Groups
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