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Abstract Let A be a finite group, and let p be a prime. Suppose that ps is the highest power of p dividing , where is the commutator subgroup of… Click to show full abstract
Abstract Let A be a finite group, and let p be a prime. Suppose that ps is the highest power of p dividing , where is the commutator subgroup of A, and that the type with of a Sylow p-subgroup of satisfies either or and . Let denote the number of subgroups of index d in A. If and q is a positive integer such that , then is a multiple of pi and is a multiple of .
Keywords:
number subgroups;
subgroups finite;
finite group
Journal Title: Communications in Algebra
Year Published: 2019
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Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!