A characterization of some alternating and symmetric groups
From MaRDI portal
Publication:4288208
DOI10.1080/00927879408824920zbMath0802.20015OpenAlexW2062849337WikidataQ56988275 ScholiaQ56988275MaRDI QIDQ4288208
Publication date: 19 April 1994
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879408824920
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06) Symmetric groups (20B30)
Related Items
Unnamed Item, Groups whose elements have given orders, On \(r\)-recognition by prime graph of \(B_p(3)\) where \(p\) is an odd prime., Finite groups isospectral to simple groups, Recognizing by spectrum for the automorphism groups of sporadic simple groups., NCF-distinguishablity by prime graph of \(\text{PGL}(2,p)\) where \(p\) is a prime, On recognition of the sporadic simple groups \(HS\), \(J_3\), \(Suz\), \(O'N\), \(Ly\), \(Th\), \(Fi_{23}\), and \(Fi'_{24}\) by the Gruenberg-Kegel graph, Recognition of the groups \(E_7(2)\) and \(E_7(3)\) by prime graph, CHARACTERIZATION OF THE GROUPSPSL5(2),PSL6(2), ANDPSL7(2), On the characterizability of the automorphism groups of sporadic simple groups by their element orders., Pure quantitative characterization of linear groups over the binary field., On finite groups isospectral to the simple groups \(S_4(q)\), CHARACTERIZATION BY PRIME GRAPH OF PGL(2, pk) WHERE p AND k > 1 ARE ODD, Recognition of the sporadic simple groups \(Ru\), \(HN\), \(Fi_{22}\), \(He\), \(M^cL\), and \(Co_3\) by their Gruenberg-Kegel graphs, Recognition of alternating groups of prime degree from their element orders, \text{M}, \text{B} and \(\mathrm{Co}_1\) are recognisable by their prime graphs, Groups critical with respect to the spectra of alternating and sporadic groups., Recognizability of symmetric groups by spectrum.
Cites Work
- Unnamed Item
- Prime graph components of finite groups
- Finite groups whose element orders are consecutive integers
- A Diophantine equation which arises in the theory of finite groups
- On finite simple groups of order divisible by three primes only
- A characteristic property ofA 8
- The Simple Group FH(8, 2) of Order 212 .35 .52 .7 and the Associated Geometry of Triality