7 citations · 23 across the 55 of their papers we have counts for
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math.GR2018
Pseudo Frobenius numbers
Benjamin Sambale
For a prime p, we call a positive integer n a Frobenius p-number if there exists a finite group with exactly n subgroups of order p^a for some . Extending previous results…
math.GR2018
Pseudo Sylow numbers
Benjamin Sambale
One part of Sylow's famous theorem in group theory states that the number of Sylow p-subgroups of a finite group is always congruent to 1 modulo p. Conversely, Marshall Hall has sh…
math.GR2018★ 1 cited
Groups whose elements are not conjugate to their powers
Andreas Bächle, Benjamin Sambale
We call a finite group irrational if none of its elements is conjugate to a distinct power of itself. We prove that those groups are solvable and describe certain classes of these…