5 citations · 8 across the 11 of their papers we have counts for
4 papers · 2 filters
Bounds on the number of conjugacy classes of the symmetric and alternating groups
Bret Benesh, Cong Tuan Son Van
Let be a finite group with Sylow subgroups , and let denote the number of conjugacy classes of . Pyber asked if for a…
Three-person impartial avoidance games for generating finite cyclic, dihedral, and nilpotent groups
Bret Benesh, Marisa Gaetz
We study a three-player variation of the impartial avoidance game introduced by Anderson and Harary. Three players take turns selecting previously-unselected elements of a finite g…
Group bases for some solvable groups and semidirect products
Bret Benesh, Jason Lutz
A set is a basis for a vector space if every element of can be uniquely written as a linear combination of the elements of . There is a similar definition of a basis…
On two questions by Finch and Jones about perfect order subset groups
Bret J. Benesh
A finite group G is said to be a POS-group if the number of elements of every order occurring in G divides |G|. We answer two questions by Finch and Jones by providing an infinite…