Template:Arithmetic function value exponent p-log of abelian p-group
prime-base logarithm of exponent || {{{1}}} || groups with same order and prime-base logarithm of exponent<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <!--br--><li>"{{{" can not be assigned to a declared number type with value 2.</li></ul> | groups with same prime-base logarithm of order and prime-base logarithm of exponent<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <!--br--><li>"{{{" can not be assigned to a declared number type with value 3.</li></ul> | groups with same prime-base logarithm of exponent"{{{" can not be assigned to a declared number type with value 1. || |- | Frattini length || {{{1}}} || groups with same order and Frattini length<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <!--br--><li>"{{{" can not be assigned to a declared number type with value 2.</li></ul> | groups with same prime-base logarithm of order and Frattini length<ul><li>"{{{" can not be assigned to a declared number type with value 1.</li> <!--br--><li>"{{{" can not be assigned to a declared number type with value 3.</li></ul> | groups with same Frattini length"{{{" can not be assigned to a declared number type with value 1. || Frattini length equals prime-base logarithm of exponent for abelian group of prime power order