On the ranks of O’N and Ly
Copyright policy )On the ranks of O’N and Ly
Let \(G\) be a finite group and \(X\) be a conjugacy class of \(G\). The minimum number of elements in \(X\) that generate \(G\) is called the rank of \(X\) in \(G\) and is denoted by \(\text{rank}(X:G)\). In the paper under review the author considers the sporadic simple groups \(O'N\) and \(Ly\), and finds the rank of all conjugacy classes of these groups. Computations carried out in this paper are done using the computer algebra system GAP.
- King Khalid University Saudi Arabia
Generators, relations, and presentations of groups, Applied Mathematics, Generator, Lyons group Ly, Rank, O’Nan group O’N, O'Nan group, Discrete Mathematics and Combinatorics, sporadic groups, Lyons group, ranks, generators, Simple groups: sporadic groups, Conjugacy classes for groups, conjugacy classes
Generators, relations, and presentations of groups, Applied Mathematics, Generator, Lyons group Ly, Rank, O’Nan group O’N, O'Nan group, Discrete Mathematics and Combinatorics, sporadic groups, Lyons group, ranks, generators, Simple groups: sporadic groups, Conjugacy classes for groups, conjugacy classes
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