Template:Arithmetic function value rank of abelian p-group

minimum size of generating set || {{{1}}} || groups with same order and minimum size of generating set<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <li>"{{{" can not be assigned to a declared number type with value 2.</li></ul> | groups with same prime-base logarithm of order and minimum size of generating set<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <li>"{{{" can not be assigned to a declared number type with value 3.</li></ul> | groups with same minimum size of generating set"{{{" can not be assigned to a declared number type with value 1. || |- | subgroup rank of a group || {{{1}}} || groups with same order and subgroup rank of a group<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <li>"{{{" can not be assigned to a declared number type with value 2.</li></ul> | groups with same prime-base logarithm of order and subgroup rank of a group<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <li>"{{{" can not be assigned to a declared number type with value 3.</li></ul> | groups with same subgroup rank of a group"{{{" can not be assigned to a declared number type with value 1. || same as minimum size of generating set since it is an abelian group of prime power order |- | rank of a p-group || {{{1}}} || groups with same order and rank of a p-group<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <li>"{{{" can not be assigned to a declared number type with value 2.</li></ul> | groups with same prime-base logarithm of order and rank of a p-group<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <li>"{{{" can not be assigned to a declared number type with value 3.</li></ul> | groups with same rank of a p-group"{{{" can not be assigned to a declared number type with value 1. || same as minimum size of generating set since it is an abelian group of prime power order |- | normal rank of a p-group || {{{1}}} || groups with same order and normal rank of a p-group<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <li>"{{{" can not be assigned to a declared number type with value 2.</li></ul> | groups with same prime-base logarithm of order and normal rank of a p-group<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <li>"{{{" can not be assigned to a declared number type with value 3.</li></ul> | groups with same normal rank of a p-group"{{{" can not be assigned to a declared number type with value 1. || same as minimum size of generating set since it is an abelian group of prime power order |- | characteristic rank of a p-group || {{{1}}} || groups with same order and characteristic rank of a p-group<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <li>"{{{" can not be assigned to a declared number type with value 2.</li></ul> | groups with same prime-base logarithm of order and characteristic rank of a p-group<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <li>"{{{" can not be assigned to a declared number type with value 3.</li></ul> | groups with same characteristic rank of a p-group"{{{" can not be assigned to a declared number type with value 1. || same as minimum size of generating set since it is an abelian group of prime power order