A053651
Number of nonisomorphic cyclic subgroups of general linear group GL(n,2).
Original entry on oeis.org
1, 3, 5, 8, 13, 18, 27, 37, 51, 70, 96, 130, 176, 232, 296, 380, 490, 620, 793, 1019, 1277, 1624
Offset: 1
a(5)=13 because the orders of the elements of GL(5,2) are {1,2,3,4,5,6,7,8,12,14,15,21,31}.
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A053658
Number of nonisomorphic cyclic subgroups of general linear group GL(n,3).
Original entry on oeis.org
2, 6, 8, 18, 26, 42, 62, 94, 130, 188, 264, 372, 506, 678
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A062250
Number of cyclic subgroups of Chevalley group A_n(2) (the group of nonsingular n X n matrices over GF(2) ).
Original entry on oeis.org
1, 5, 79, 6974, 2037136, 2890467344, 14011554132032, 325330342132674560, 27173394819858612320256, 10158190320726534408118452224, 13156630408268153048253765001412608, 80280189722884518774834501142737770774528
Offset: 1
Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 01 2001
a(3) = 1/phi(1)+21/phi(2)+56/phi(3)+42/phi(4)+48/phi(7) = 79.
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A062552
Number of cyclic subgroups of Chevalley group A_n(4) (the group of nonsingular n X n matrices over GF(4) ).
Original entry on oeis.org
2, 74, 37820, 332797040, 42906753609728, 96807463594555409408, 3287060262175777407524421632, 1849558511978449242738396356403003392, 16381469636294717667541649667987962803817283584, 2439141663752697521176587375190791943802198154311477755904
Offset: 1
Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 02 2001
Showing 1-4 of 4 results.